diff --git a/src/content-repo.ts b/src/content-repo.ts
index 257541296..d3130aa72 100644
--- a/src/content-repo.ts
+++ b/src/content-repo.ts
@@ -14,7 +14,7 @@ See the License for the specific language governing permissions and
 limitations under the License.
 */
 
-import * as utils from "./utils";
+import { encodeParams } from "./utils";
 
 /**
  * Get the HTTP URL for an MXC URI.
@@ -74,6 +74,6 @@ export function getHttpUriForMxc(
         serverAndMediaId = serverAndMediaId.slice(0, fragmentOffset);
     }
 
-    const urlParams = Object.keys(params).length === 0 ? "" : "?" + utils.encodeParams(params);
+    const urlParams = Object.keys(params).length === 0 ? "" : "?" + encodeParams(params);
     return baseUrl + prefix + serverAndMediaId + urlParams + fragment;
 }
diff --git a/src/crypto/store/indexeddb-crypto-store-backend.ts b/src/crypto/store/indexeddb-crypto-store-backend.ts
index 7827697ec..228418091 100644
--- a/src/crypto/store/indexeddb-crypto-store-backend.ts
+++ b/src/crypto/store/indexeddb-crypto-store-backend.ts
@@ -15,7 +15,7 @@ limitations under the License.
 */
 
 import { logger, PrefixedLogger } from "../../logger";
-import * as utils from "../../utils";
+import { deepCompare } from "../../utils";
 import {
     CryptoStore,
     IDeviceData,
@@ -158,7 +158,7 @@ export class Backend implements CryptoStore {
 
             const existing = cursor.value;
 
-            if (utils.deepCompare(existing.requestBody, requestBody)) {
+            if (deepCompare(existing.requestBody, requestBody)) {
                 // got a match
                 callback(existing);
                 return;
diff --git a/src/crypto/store/memory-crypto-store.ts b/src/crypto/store/memory-crypto-store.ts
index d4e154d39..a78574850 100644
--- a/src/crypto/store/memory-crypto-store.ts
+++ b/src/crypto/store/memory-crypto-store.ts
@@ -15,7 +15,7 @@ limitations under the License.
 */
 
 import { logger } from "../../logger";
-import * as utils from "../../utils";
+import { deepCompare, promiseTry } from "../../utils";
 import {
     CryptoStore,
     IDeviceData,
@@ -90,7 +90,7 @@ export class MemoryCryptoStore implements CryptoStore {
     public getOrAddOutgoingRoomKeyRequest(request: OutgoingRoomKeyRequest): Promise<OutgoingRoomKeyRequest> {
         const requestBody = request.requestBody;
 
-        return utils.promiseTry(() => {
+        return promiseTry(() => {
             // first see if we already have an entry for this request.
             const existing = this._getOutgoingRoomKeyRequest(requestBody);
 
@@ -138,7 +138,7 @@ export class MemoryCryptoStore implements CryptoStore {
     // eslint-disable-next-line @typescript-eslint/naming-convention
     private _getOutgoingRoomKeyRequest(requestBody: IRoomKeyRequestBody): OutgoingRoomKeyRequest | null {
         for (const existing of this.outgoingRoomKeyRequests) {
-            if (utils.deepCompare(existing.requestBody, requestBody)) {
+            if (deepCompare(existing.requestBody, requestBody)) {
                 return existing;
             }
         }
diff --git a/src/http-api/fetch.ts b/src/http-api/fetch.ts
index e1c266c64..5b0f0a1ba 100644
--- a/src/http-api/fetch.ts
+++ b/src/http-api/fetch.ts
@@ -18,7 +18,7 @@ limitations under the License.
  * This is an internal module. See {@link MatrixHttpApi} for the public class.
  */
 
-import * as utils from "../utils";
+import { checkObjectHasKeys, encodeParams } from "../utils";
 import { TypedEventEmitter } from "../models/typed-event-emitter";
 import { Method } from "./method";
 import { ConnectionError, MatrixError } from "./errors";
@@ -45,7 +45,7 @@ export class FetchHttpApi<O extends IHttpOpts> {
         private eventEmitter: TypedEventEmitter<HttpApiEvent, HttpApiEventHandlerMap>,
         public readonly opts: O,
     ) {
-        utils.checkObjectHasKeys(opts, ["baseUrl", "prefix"]);
+        checkObjectHasKeys(opts, ["baseUrl", "prefix"]);
         opts.onlyData = !!opts.onlyData;
         opts.useAuthorizationHeader = opts.useAuthorizationHeader ?? true;
     }
@@ -304,7 +304,7 @@ export class FetchHttpApi<O extends IHttpOpts> {
     public getUrl(path: string, queryParams?: QueryDict, prefix?: string, baseUrl?: string): URL {
         const url = new URL((baseUrl ?? this.opts.baseUrl) + (prefix ?? this.opts.prefix) + path);
         if (queryParams) {
-            utils.encodeParams(queryParams, url.searchParams);
+            encodeParams(queryParams, url.searchParams);
         }
         return url;
     }
diff --git a/src/http-api/index.ts b/src/http-api/index.ts
index c5e8e2a3a..1de1f847b 100644
--- a/src/http-api/index.ts
+++ b/src/http-api/index.ts
@@ -17,7 +17,7 @@ limitations under the License.
 import { FetchHttpApi } from "./fetch";
 import { FileType, IContentUri, IHttpOpts, Upload, UploadOpts, UploadResponse } from "./interface";
 import { MediaPrefix } from "./prefix";
-import * as utils from "../utils";
+import { defer, QueryDict, removeElement } from "../utils";
 import * as callbacks from "../realtime-callbacks";
 import { Method } from "./method";
 import { ConnectionError } from "./errors";
@@ -58,14 +58,14 @@ export class MatrixHttpApi<O extends IHttpOpts> extends FetchHttpApi<O> {
             total: 0,
             abortController,
         } as Upload;
-        const defer = utils.defer<UploadResponse>();
+        const deferred = defer<UploadResponse>();
 
         if (global.XMLHttpRequest) {
             const xhr = new global.XMLHttpRequest();
 
             const timeoutFn = function (): void {
                 xhr.abort();
-                defer.reject(new Error("Timeout"));
+                deferred.reject(new Error("Timeout"));
             };
 
             // set an initial timeout of 30s; we'll advance it each time we get a progress notification
@@ -84,16 +84,16 @@ export class MatrixHttpApi<O extends IHttpOpts> extends FetchHttpApi<O> {
                             }
 
                             if (xhr.status >= 400) {
-                                defer.reject(parseErrorResponse(xhr, xhr.responseText));
+                                deferred.reject(parseErrorResponse(xhr, xhr.responseText));
                             } else {
-                                defer.resolve(JSON.parse(xhr.responseText));
+                                deferred.resolve(JSON.parse(xhr.responseText));
                             }
                         } catch (err) {
                             if ((<Error>err).name === "AbortError") {
-                                defer.reject(err);
+                                deferred.reject(err);
                                 return;
                             }
-                            defer.reject(new ConnectionError("request failed", <Error>err));
+                            deferred.reject(new ConnectionError("request failed", <Error>err));
                         }
                         break;
                 }
@@ -131,7 +131,7 @@ export class MatrixHttpApi<O extends IHttpOpts> extends FetchHttpApi<O> {
                 xhr.abort();
             });
         } else {
-            const queryParams: utils.QueryDict = {};
+            const queryParams: QueryDict = {};
             if (includeFilename && fileName) {
                 queryParams.filename = fileName;
             }
@@ -146,16 +146,16 @@ export class MatrixHttpApi<O extends IHttpOpts> extends FetchHttpApi<O> {
                 .then((response) => {
                     return this.opts.onlyData ? <UploadResponse>response : response.json();
                 })
-                .then(defer.resolve, defer.reject);
+                .then(deferred.resolve, deferred.reject);
         }
 
         // remove the upload from the list on completion
-        upload.promise = defer.promise.finally(() => {
-            utils.removeElement(this.uploads, (elem) => elem === upload);
+        upload.promise = deferred.promise.finally(() => {
+            removeElement(this.uploads, (elem) => elem === upload);
         });
         abortController.signal.addEventListener("abort", () => {
-            utils.removeElement(this.uploads, (elem) => elem === upload);
-            defer.reject(new DOMException("Aborted", "AbortError"));
+            removeElement(this.uploads, (elem) => elem === upload);
+            deferred.reject(new DOMException("Aborted", "AbortError"));
         });
         this.uploads.push(upload);
         return upload.promise;
diff --git a/src/models/read-receipt.ts b/src/models/read-receipt.ts
index 5858fe5bb..169977915 100644
--- a/src/models/read-receipt.ts
+++ b/src/models/read-receipt.ts
@@ -20,7 +20,7 @@ import {
     WrappedReceipt,
 } from "../@types/read_receipts";
 import { ListenerMap, TypedEventEmitter } from "./typed-event-emitter";
-import * as utils from "../utils";
+import { isSupportedReceiptType } from "../utils";
 import { MatrixEvent } from "./event";
 import { EventType } from "../@types/event";
 import { EventTimelineSet } from "./event-timeline-set";
@@ -267,7 +267,7 @@ export abstract class ReadReceipt<
     public getUsersReadUpTo(event: MatrixEvent): string[] {
         return this.getReceiptsForEvent(event)
             .filter(function (receipt) {
-                return utils.isSupportedReceiptType(receipt.type);
+                return isSupportedReceiptType(receipt.type);
             })
             .map(function (receipt) {
                 return receipt.userId;
diff --git a/src/models/room-member.ts b/src/models/room-member.ts
index 116a93b62..e8fcfa606 100644
--- a/src/models/room-member.ts
+++ b/src/models/room-member.ts
@@ -15,7 +15,7 @@ limitations under the License.
 */
 
 import { getHttpUriForMxc } from "../content-repo";
-import * as utils from "../utils";
+import { removeDirectionOverrideChars, removeHiddenChars } from "../utils";
 import { User } from "./user";
 import { MatrixEvent } from "./event";
 import { RoomState } from "./room-state";
@@ -206,8 +206,8 @@ export class RoomMember extends TypedEventEmitter<RoomMemberEvent, RoomMemberEve
 
         // not quite raw: we strip direction override chars so it can safely be inserted into
         // blocks of text without breaking the text direction
-        this.rawDisplayName = utils.removeDirectionOverrideChars(event.getDirectionalContent().displayname ?? "");
-        if (!this.rawDisplayName || !utils.removeHiddenChars(this.rawDisplayName)) {
+        this.rawDisplayName = removeDirectionOverrideChars(event.getDirectionalContent().displayname ?? "");
+        if (!this.rawDisplayName || !removeHiddenChars(this.rawDisplayName)) {
             this.rawDisplayName = this.userId;
         }
 
@@ -407,7 +407,7 @@ function shouldDisambiguate(selfUserId: string, displayName?: string, roomState?
 
     // First check if the displayname is something we consider truthy
     // after stripping it of zero width characters and padding spaces
-    if (!utils.removeHiddenChars(displayName)) return false;
+    if (!removeHiddenChars(displayName)) return false;
 
     if (!roomState) return false;
 
@@ -432,11 +432,11 @@ function shouldDisambiguate(selfUserId: string, displayName?: string, roomState?
 function calculateDisplayName(selfUserId: string, displayName: string | undefined, disambiguate: boolean): string {
     if (!displayName || displayName === selfUserId) return selfUserId;
 
-    if (disambiguate) return utils.removeDirectionOverrideChars(displayName) + " (" + selfUserId + ")";
+    if (disambiguate) return removeDirectionOverrideChars(displayName) + " (" + selfUserId + ")";
 
     // First check if the displayname is something we consider truthy
     // after stripping it of zero width characters and padding spaces
-    if (!utils.removeHiddenChars(displayName)) return selfUserId;
+    if (!removeHiddenChars(displayName)) return selfUserId;
 
     // We always strip the direction override characters (LRO and RLO).
     // These override the text direction for all subsequent characters
@@ -449,5 +449,5 @@ function calculateDisplayName(selfUserId: string, displayName: string | undefine
     // names should flip into the correct direction automatically based on
     // the characters, and you can still embed rtl in ltr or vice versa
     // with the embed chars or marker chars.
-    return utils.removeDirectionOverrideChars(displayName);
+    return removeDirectionOverrideChars(displayName);
 }
diff --git a/src/models/room-state.ts b/src/models/room-state.ts
index f975b9cbd..a1a13b313 100644
--- a/src/models/room-state.ts
+++ b/src/models/room-state.ts
@@ -16,7 +16,7 @@ limitations under the License.
 
 import { RoomMember } from "./room-member";
 import { logger } from "../logger";
-import * as utils from "../utils";
+import { isNumber, removeHiddenChars } from "../utils";
 import { EventType, UNSTABLE_MSC2716_MARKER } from "../@types/event";
 import { IEvent, MatrixEvent, MatrixEventEvent } from "./event";
 import { MatrixClient } from "../client";
@@ -759,7 +759,7 @@ export class RoomState extends TypedEventEmitter<EmittedEvents, EventHandlerMap>
      * @returns An array of user IDs or an empty array.
      */
     public getUserIdsWithDisplayName(displayName: string): string[] {
-        return this.displayNameToUserIds.get(utils.removeHiddenChars(displayName)) ?? [];
+        return this.displayNameToUserIds.get(removeHiddenChars(displayName)) ?? [];
     }
 
     /**
@@ -798,7 +798,7 @@ export class RoomState extends TypedEventEmitter<EmittedEvents, EventHandlerMap>
         }
 
         let requiredLevel = 50;
-        if (utils.isNumber(powerLevels[action])) {
+        if (isNumber(powerLevels[action])) {
             requiredLevel = powerLevels[action]!;
         }
 
@@ -928,7 +928,7 @@ export class RoomState extends TypedEventEmitter<EmittedEvents, EventHandlerMap>
             powerLevelsEvent &&
             powerLevelsEvent.getContent() &&
             powerLevelsEvent.getContent().notifications &&
-            utils.isNumber(powerLevelsEvent.getContent().notifications[notifLevelKey])
+            isNumber(powerLevelsEvent.getContent().notifications[notifLevelKey])
         ) {
             notifLevel = powerLevelsEvent.getContent().notifications[notifLevelKey];
         }
@@ -1058,7 +1058,7 @@ export class RoomState extends TypedEventEmitter<EmittedEvents, EventHandlerMap>
             // We clobber the user_id > name lookup but the name -> [user_id] lookup
             // means we need to remove that user ID from that array rather than nuking
             // the lot.
-            const strippedOldName = utils.removeHiddenChars(oldName);
+            const strippedOldName = removeHiddenChars(oldName);
 
             const existingUserIds = this.displayNameToUserIds.get(strippedOldName);
             if (existingUserIds) {
@@ -1070,7 +1070,7 @@ export class RoomState extends TypedEventEmitter<EmittedEvents, EventHandlerMap>
 
         this.userIdsToDisplayNames[userId] = displayName;
 
-        const strippedDisplayname = displayName && utils.removeHiddenChars(displayName);
+        const strippedDisplayname = displayName && removeHiddenChars(displayName);
         // an empty stripped displayname (undefined/'') will be set to MXID in room-member.js
         if (strippedDisplayname) {
             const arr = this.displayNameToUserIds.get(strippedDisplayname) ?? [];
diff --git a/src/models/room.ts b/src/models/room.ts
index 439bd6819..e16375707 100644
--- a/src/models/room.ts
+++ b/src/models/room.ts
@@ -24,7 +24,7 @@ import {
 } from "./event-timeline-set";
 import { Direction, EventTimeline } from "./event-timeline";
 import { getHttpUriForMxc } from "../content-repo";
-import * as utils from "../utils";
+import { compare, removeElement } from "../utils";
 import { normalize, noUnsafeEventProps } from "../utils";
 import { IEvent, IThreadBundledRelationship, MatrixEvent, MatrixEventEvent, MatrixEventHandlerMap } from "./event";
 import { EventStatus } from "./event-status";
@@ -733,7 +733,7 @@ export class Room extends ReadReceipt<RoomEmittedEvents, RoomEventHandlerMap> {
             );
         }
 
-        const removed = utils.removeElement(
+        const removed = removeElement(
             this.pendingEventList,
             function (ev) {
                 return ev.getId() == eventId;
@@ -3267,7 +3267,7 @@ export class Room extends ReadReceipt<RoomEmittedEvents, RoomEventHandlerMap> {
                 return true;
             });
             // make sure members have stable order
-            otherMembers.sort((a, b) => utils.compare(a.userId, b.userId));
+            otherMembers.sort((a, b) => compare(a.userId, b.userId));
             // only 5 first members, immitate summaryHeroes
             otherMembers = otherMembers.slice(0, 5);
             otherNames = otherMembers.map((m) => m.name);
diff --git a/src/scheduler.ts b/src/scheduler.ts
index e41770249..41612f1c9 100644
--- a/src/scheduler.ts
+++ b/src/scheduler.ts
@@ -18,11 +18,10 @@ limitations under the License.
  * This is an internal module which manages queuing, scheduling and retrying
  * of requests.
  */
-import * as utils from "./utils";
 import { logger } from "./logger";
 import { MatrixEvent } from "./models/event";
 import { EventType } from "./@types/event";
-import { IDeferred } from "./utils";
+import { defer, IDeferred, removeElement } from "./utils";
 import { ConnectionError, MatrixError } from "./http-api";
 import { ISendEventResponse } from "./@types/requests";
 
@@ -175,7 +174,7 @@ export class MatrixScheduler<T = ISendEventResponse> {
             return false;
         }
         let removed = false;
-        utils.removeElement(this.queues[name], (element) => {
+        removeElement(this.queues[name], (element) => {
             if (element.event.getId() === event.getId()) {
                 // XXX we should probably reject the promise?
                 // https://github.com/matrix-org/matrix-js-sdk/issues/496
@@ -214,15 +213,15 @@ export class MatrixScheduler<T = ISendEventResponse> {
         if (!this.queues[queueName]) {
             this.queues[queueName] = [];
         }
-        const defer = utils.defer<T>();
+        const deferred = defer<T>();
         this.queues[queueName].push({
             event: event,
-            defer: defer,
+            defer: deferred,
             attempts: 0,
         });
         debuglog("Queue algorithm dumped event %s into queue '%s'", event.getId(), queueName);
         this.startProcessingQueues();
-        return defer.promise;
+        return deferred.promise;
     }
 
     private startProcessingQueues(): void {
diff --git a/src/sliding-sync-sdk.ts b/src/sliding-sync-sdk.ts
index e0aa627e2..b7d2223ff 100644
--- a/src/sliding-sync-sdk.ts
+++ b/src/sliding-sync-sdk.ts
@@ -17,7 +17,7 @@ limitations under the License.
 import type { SyncCryptoCallbacks } from "./common-crypto/CryptoBackend";
 import { NotificationCountType, Room, RoomEvent } from "./models/room";
 import { logger } from "./logger";
-import * as utils from "./utils";
+import { promiseMapSeries } from "./utils";
 import { EventTimeline } from "./models/event-timeline";
 import { ClientEvent, IStoredClientOpts, MatrixClient } from "./client";
 import {
@@ -726,8 +726,8 @@ export class SlidingSyncSdk {
             }
         };
 
-        await utils.promiseMapSeries(stateEvents, processRoomEvent);
-        await utils.promiseMapSeries(timelineEvents, processRoomEvent);
+        await promiseMapSeries(stateEvents, processRoomEvent);
+        await promiseMapSeries(timelineEvents, processRoomEvent);
         ephemeralEvents.forEach(function (e) {
             client.emit(ClientEvent.Event, e);
         });
diff --git a/src/store/indexeddb-local-backend.ts b/src/store/indexeddb-local-backend.ts
index 80fed44c5..a82de854e 100644
--- a/src/store/indexeddb-local-backend.ts
+++ b/src/store/indexeddb-local-backend.ts
@@ -15,8 +15,8 @@ limitations under the License.
 */
 
 import { IMinimalEvent, ISyncData, ISyncResponse, SyncAccumulator } from "../sync-accumulator";
-import * as utils from "../utils";
-import * as IndexedDBHelpers from "../indexeddb-helpers";
+import { deepCopy, promiseTry } from "../utils";
+import { exists as idbExists } from "../indexeddb-helpers";
 import { logger } from "../logger";
 import { IStateEventWithRoomId, IStoredClientOpts } from "../matrix";
 import { ISavedSync } from "./index";
@@ -122,7 +122,7 @@ function reqAsCursorPromise<T>(req: IDBRequest<T>): Promise<T> {
 export class LocalIndexedDBStoreBackend implements IIndexedDBBackend {
     public static exists(indexedDB: IDBFactory, dbName: string): Promise<boolean> {
         dbName = "matrix-js-sdk:" + (dbName || "default");
-        return IndexedDBHelpers.exists(indexedDB, dbName);
+        return idbExists(indexedDB, dbName);
     }
 
     private readonly dbName: string;
@@ -380,7 +380,7 @@ export class LocalIndexedDBStoreBackend implements IIndexedDBBackend {
         if (copy) {
             // We must deep copy the stored data so that the /sync processing code doesn't
             // corrupt the internal state of the sync accumulator (it adds non-clonable keys)
-            return Promise.resolve(utils.deepCopy(data));
+            return Promise.resolve(deepCopy(data));
         } else {
             return Promise.resolve(data);
         }
@@ -435,7 +435,7 @@ export class LocalIndexedDBStoreBackend implements IIndexedDBBackend {
      */
     private persistSyncData(nextBatch: string, roomsData: ISyncResponse["rooms"]): Promise<void> {
         logger.log("Persisting sync data up to", nextBatch);
-        return utils.promiseTry<void>(() => {
+        return promiseTry<void>(() => {
             const txn = this.db!.transaction(["sync"], "readwrite");
             const store = txn.objectStore("sync");
             store.put({
@@ -456,7 +456,7 @@ export class LocalIndexedDBStoreBackend implements IIndexedDBBackend {
      * @returns Promise which resolves if the events were persisted.
      */
     private persistAccountData(accountData: IMinimalEvent[]): Promise<void> {
-        return utils.promiseTry<void>(() => {
+        return promiseTry<void>(() => {
             const txn = this.db!.transaction(["accountData"], "readwrite");
             const store = txn.objectStore("accountData");
             for (const event of accountData) {
@@ -475,7 +475,7 @@ export class LocalIndexedDBStoreBackend implements IIndexedDBBackend {
      * @returns Promise which resolves if the users were persisted.
      */
     private persistUserPresenceEvents(tuples: UserTuple[]): Promise<void> {
-        return utils.promiseTry<void>(() => {
+        return promiseTry<void>(() => {
             const txn = this.db!.transaction(["users"], "readwrite");
             const store = txn.objectStore("users");
             for (const tuple of tuples) {
@@ -495,7 +495,7 @@ export class LocalIndexedDBStoreBackend implements IIndexedDBBackend {
      * @returns A list of presence events in their raw form.
      */
     public getUserPresenceEvents(): Promise<UserTuple[]> {
-        return utils.promiseTry<UserTuple[]>(() => {
+        return promiseTry<UserTuple[]>(() => {
             const txn = this.db!.transaction(["users"], "readonly");
             const store = txn.objectStore("users");
             return selectQuery(store, undefined, (cursor) => {
@@ -510,7 +510,7 @@ export class LocalIndexedDBStoreBackend implements IIndexedDBBackend {
      */
     private loadAccountData(): Promise<IMinimalEvent[]> {
         logger.log(`LocalIndexedDBStoreBackend: loading account data...`);
-        return utils.promiseTry<IMinimalEvent[]>(() => {
+        return promiseTry<IMinimalEvent[]>(() => {
             const txn = this.db!.transaction(["accountData"], "readonly");
             const store = txn.objectStore("accountData");
             return selectQuery(store, undefined, (cursor) => {
@@ -528,7 +528,7 @@ export class LocalIndexedDBStoreBackend implements IIndexedDBBackend {
      */
     private loadSyncData(): Promise<ISyncData> {
         logger.log(`LocalIndexedDBStoreBackend: loading sync data...`);
-        return utils.promiseTry<ISyncData>(() => {
+        return promiseTry<ISyncData>(() => {
             const txn = this.db!.transaction(["sync"], "readonly");
             const store = txn.objectStore("sync");
             return selectQuery(store, undefined, (cursor) => {
diff --git a/src/sync.ts b/src/sync.ts
index 8bf0f8626..4800880bc 100644
--- a/src/sync.ts
+++ b/src/sync.ts
@@ -28,7 +28,7 @@ import { Optional } from "matrix-events-sdk";
 import type { SyncCryptoCallbacks } from "./common-crypto/CryptoBackend";
 import { User, UserEvent } from "./models/user";
 import { NotificationCountType, Room, RoomEvent } from "./models/room";
-import * as utils from "./utils";
+import { promiseMapSeries, defer, deepCopy } from "./utils";
 import { IDeferred, noUnsafeEventProps, unsafeProp } from "./utils";
 import { Filter } from "./filter";
 import { EventTimeline } from "./models/event-timeline";
@@ -414,7 +414,7 @@ export class SyncApi {
 
             // FIXME: Mostly duplicated from injectRoomEvents but not entirely
             // because "state" in this API is at the BEGINNING of the chunk
-            const oldStateEvents = utils.deepCopy(response.state).map(client.getEventMapper());
+            const oldStateEvents = deepCopy(response.state).map(client.getEventMapper());
             const stateEvents = response.state.map(client.getEventMapper());
             const messages = response.messages.chunk.map(client.getEventMapper());
 
@@ -1247,7 +1247,7 @@ export class SyncApi {
         this.notifEvents = [];
 
         // Handle invites
-        await utils.promiseMapSeries(inviteRooms, async (inviteObj) => {
+        await promiseMapSeries(inviteRooms, async (inviteObj) => {
             const room = inviteObj.room;
             const stateEvents = this.mapSyncEventsFormat(inviteObj.invite_state, room);
 
@@ -1288,7 +1288,7 @@ export class SyncApi {
         });
 
         // Handle joins
-        await utils.promiseMapSeries(joinRooms, async (joinObj) => {
+        await promiseMapSeries(joinRooms, async (joinObj) => {
             const room = joinObj.room;
             const stateEvents = this.mapSyncEventsFormat(joinObj.state, room);
             // Prevent events from being decrypted ahead of time
@@ -1471,7 +1471,7 @@ export class SyncApi {
         });
 
         // Handle leaves (e.g. kicked rooms)
-        await utils.promiseMapSeries(leaveRooms, async (leaveObj) => {
+        await promiseMapSeries(leaveRooms, async (leaveObj) => {
             const room = leaveObj.room;
             const stateEvents = this.mapSyncEventsFormat(leaveObj.state, room);
             const events = this.mapSyncEventsFormat(leaveObj.timeline, room);
@@ -1552,7 +1552,7 @@ export class SyncApi {
             this.pokeKeepAlive();
         }
         if (!this.connectionReturnedDefer) {
-            this.connectionReturnedDefer = utils.defer();
+            this.connectionReturnedDefer = defer();
         }
         return this.connectionReturnedDefer.promise;
     }
diff --git a/src/webrtc/call.ts b/src/webrtc/call.ts
index df2a22587..1e42c3143 100644
--- a/src/webrtc/call.ts
+++ b/src/webrtc/call.ts
@@ -25,7 +25,7 @@ import { v4 as uuidv4 } from "uuid";
 import { parse as parseSdp, write as writeSdp } from "sdp-transform";
 
 import { logger } from "../logger";
-import * as utils from "../utils";
+import { checkObjectHasKeys, isNullOrUndefined, recursivelyAssign } from "../utils";
 import { IContent, MatrixEvent } from "../models/event";
 import { EventType, ToDeviceMessageId } from "../@types/event";
 import { RoomMember } from "../models/room-member";
@@ -453,7 +453,7 @@ export class MatrixCall extends TypedEventEmitter<CallEvent, CallEventHandlerMap
             });
         }
         for (const server of this.turnServers) {
-            utils.checkObjectHasKeys(server, ["urls"]);
+            checkObjectHasKeys(server, ["urls"]);
         }
         this.callId = genCallID();
         // If the Client provides calls without audio and video we need a datachannel for a webrtc connection
@@ -1043,7 +1043,7 @@ export class MatrixCall extends TypedEventEmitter<CallEvent, CallEventHandlerMap
             );
             return false;
         } else if (
-            !utils.isNullOrUndefined(wantedValue) &&
+            !isNullOrUndefined(wantedValue) &&
             wantedValue !== valueOfTheOtherSide &&
             !this.opponentSupportsSDPStreamMetadata()
         ) {
@@ -2030,7 +2030,7 @@ export class MatrixCall extends TypedEventEmitter<CallEvent, CallEventHandlerMap
     }
 
     private updateRemoteSDPStreamMetadata(metadata: SDPStreamMetadata): void {
-        this.remoteSDPStreamMetadata = utils.recursivelyAssign(this.remoteSDPStreamMetadata || {}, metadata, true);
+        this.remoteSDPStreamMetadata = recursivelyAssign(this.remoteSDPStreamMetadata || {}, metadata, true);
         for (const feed of this.getRemoteFeeds()) {
             const streamId = feed.stream.id;
             const metadata = this.remoteSDPStreamMetadata![streamId];