diff --git a/library/md.c b/library/md.c
index 2586827e4c..7e0465dedf 100644
--- a/library/md.c
+++ b/library/md.c
@@ -118,7 +118,7 @@ static const mbedtls_md_info_t mbedtls_sha3_224_info = {
 };
 #endif
 
-#if defined(MBEDTLS_MD_CAN_SHA3_256)
+#if defined(PSA_WANT_ALG_SHA3_256)
 static const mbedtls_md_info_t mbedtls_sha3_256_info = {
     MD_INFO(MBEDTLS_MD_SHA3_256, 32, 136)
 };
@@ -171,7 +171,7 @@ const mbedtls_md_info_t *mbedtls_md_info_from_type(mbedtls_md_type_t md_type)
         case MBEDTLS_MD_SHA3_224:
             return &mbedtls_sha3_224_info;
 #endif
-#if defined(MBEDTLS_MD_CAN_SHA3_256)
+#if defined(PSA_WANT_ALG_SHA3_256)
         case MBEDTLS_MD_SHA3_256:
             return &mbedtls_sha3_256_info;
 #endif
@@ -812,7 +812,7 @@ static const int supported_digests[] = {
     MBEDTLS_MD_SHA3_224,
 #endif
 
-#if defined(MBEDTLS_MD_CAN_SHA3_256)
+#if defined(PSA_WANT_ALG_SHA3_256)
     MBEDTLS_MD_SHA3_256,
 #endif
 
@@ -863,7 +863,7 @@ static const md_name_entry md_names[] = {
 #if defined(MBEDTLS_MD_CAN_SHA3_224)
     { "SHA3-224", MBEDTLS_MD_SHA3_224 },
 #endif
-#if defined(MBEDTLS_MD_CAN_SHA3_256)
+#if defined(PSA_WANT_ALG_SHA3_256)
     { "SHA3-256", MBEDTLS_MD_SHA3_256 },
 #endif
 #if defined(MBEDTLS_MD_CAN_SHA3_384)
diff --git a/library/oid.c b/library/oid.c
index 825fceea07..972a85950e 100644
--- a/library/oid.c
+++ b/library/oid.c
@@ -767,7 +767,7 @@ static const oid_md_alg_t oid_md_alg[] =
         MBEDTLS_MD_SHA3_224,
     },
 #endif
-#if defined(MBEDTLS_MD_CAN_SHA3_256)
+#if defined(PSA_WANT_ALG_SHA3_256)
     {
         OID_DESCRIPTOR(MBEDTLS_OID_DIGEST_ALG_SHA3_256,    "id-sha3-256",    "SHA-3-256"),
         MBEDTLS_MD_SHA3_256,
@@ -845,12 +845,12 @@ static const oid_md_hmac_t oid_md_hmac[] =
         MBEDTLS_MD_SHA3_224,
     },
 #endif /* MBEDTLS_MD_CAN_SHA3_224 */
-#if defined(MBEDTLS_MD_CAN_SHA3_256)
+#if defined(PSA_WANT_ALG_SHA3_256)
     {
         OID_DESCRIPTOR(MBEDTLS_OID_HMAC_SHA3_256,    "hmacSHA3-256",    "HMAC-SHA3-256"),
         MBEDTLS_MD_SHA3_256,
     },
-#endif /* MBEDTLS_MD_CAN_SHA3_256 */
+#endif /* PSA_WANT_ALG_SHA3_256 */
 #if defined(MBEDTLS_MD_CAN_SHA3_384)
     {
         OID_DESCRIPTOR(MBEDTLS_OID_HMAC_SHA3_384,    "hmacSHA3-384",    "HMAC-SHA3-384"),
diff --git a/tests/suites/test_suite_hmac_drbg.misc.data b/tests/suites/test_suite_hmac_drbg.misc.data
index 15050a42b7..0c91ca22ac 100644
--- a/tests/suites/test_suite_hmac_drbg.misc.data
+++ b/tests/suites/test_suite_hmac_drbg.misc.data
@@ -23,7 +23,7 @@ depends_on:MBEDTLS_MD_CAN_SHA3_224
 hmac_drbg_entropy_usage:MBEDTLS_MD_SHA3_224
 
 HMAC_DRBG entropy usage SHA3-256
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 hmac_drbg_entropy_usage:MBEDTLS_MD_SHA3_256
 
 HMAC_DRBG entropy usage SHA3-384
@@ -83,11 +83,11 @@ depends_on:MBEDTLS_MD_CAN_SHA3_224
 hmac_drbg_seed_file:MBEDTLS_MD_SHA3_224:"no_such_dir/file":MBEDTLS_ERR_HMAC_DRBG_FILE_IO_ERROR
 
 HMAC_DRBG write/update seed file SHA3-256 [#1]
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 hmac_drbg_seed_file:MBEDTLS_MD_SHA3_256:"data_files/hmac_drbg_seed":0
 
 HMAC_DRBG write/update seed file SHA3-256 [#2]
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 hmac_drbg_seed_file:MBEDTLS_MD_SHA3_256:"no_such_dir/file":MBEDTLS_ERR_HMAC_DRBG_FILE_IO_ERROR
 
 HMAC_DRBG write/update seed file SHA3-384 [#1]
@@ -131,7 +131,7 @@ depends_on:MBEDTLS_MD_CAN_SHA3_224
 hmac_drbg_buf:MBEDTLS_MD_SHA3_224
 
 HMAC_DRBG from buffer SHA3-256
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 hmac_drbg_buf:MBEDTLS_MD_SHA3_256
 
 HMAC_DRBG from buffer SHA3-384
diff --git a/tests/suites/test_suite_md.data b/tests/suites/test_suite_md.data
index 3f2e69f7f5..4b0ebac4b3 100644
--- a/tests/suites/test_suite_md.data
+++ b/tests/suites/test_suite_md.data
@@ -41,7 +41,7 @@ depends_on:MBEDTLS_MD_CAN_SHA3_224
 md_info:MBEDTLS_MD_SHA3_224:"SHA3-224":28
 
 Information on SHA3-256
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 md_info:MBEDTLS_MD_SHA3_256:"SHA3-256":32
 
 Information on SHA3-384
@@ -117,7 +117,7 @@ depends_on:MBEDTLS_MD_CAN_SHA3_224
 md_hex:MBEDTLS_MD_SHA3_224:"01":"488286d9d32716e5881ea1ee51f36d3660d70f0db03b3f612ce9eda4"
 
 generic mbedtls_sha3 SHA3-256 Test vector from CAVS 19.0 with Len = 8
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 md_hex:MBEDTLS_MD_SHA3_256:"e9":"f0d04dd1e6cfc29a4460d521796852f25d9ef8d28b44ee91ff5b759d72c1e6d6"
 
 generic mbedtls_sha3 SHA3-384 Test vector from CAVS 19.0 with Len = 8
@@ -265,7 +265,7 @@ depends_on:MBEDTLS_MD_CAN_SHA3_224
 md_hex_multi:MBEDTLS_MD_SHA3_224:"e7183e4d89c9":"650618f3b945c07de85b8478d69609647d5e2a432c6b15fbb3db91e4"
 
 generic multi step mbedtls_sha3 SHA3-256 Test vector from CAVS 19.0 with Len = 48
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 md_hex_multi:MBEDTLS_MD_SHA3_256:"e6fd42037f80":"2294f8d3834f24aa9037c431f8c233a66a57b23fa3de10530bbb6911f6e1850f"
 
 generic multi step mbedtls_sha3 SHA3-384 Test vector from CAVS 19.0 with Len = 48
@@ -541,19 +541,19 @@ depends_on:MBEDTLS_MD_CAN_SHA3_224
 mbedtls_md_hmac:MBEDTLS_MD_SHA3_224:14:"000102030405060708090a0b0c0d0e0f101112131415161718191a1b":"53616d706c65206d65737361676520666f72206b65796c656e3c626c6f636b6c656e2c2077697468207472756e636174656420746167":"8569c54cbb00a9b78ff1b391b0e5"
 
 HMAC-SHA3-256: NIST example #1: keylen<blocklen
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 mbedtls_md_hmac:MBEDTLS_MD_SHA3_256:32:"000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f":"53616d706c65206d65737361676520666f72206b65796c656e3c626c6f636b6c656e":"4fe8e202c4f058e8dddc23d8c34e467343e23555e24fc2f025d598f558f67205"
 
 HMAC-SHA3-256: NIST example #2: keylen=blocklen
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 mbedtls_md_hmac:MBEDTLS_MD_SHA3_256:32:"000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f606162636465666768696a6b6c6d6e6f707172737475767778797a7b7c7d7e7f8081828384858687":"53616d706c65206d65737361676520666f72206b65796c656e3d626c6f636b6c656e":"68b94e2e538a9be4103bebb5aa016d47961d4d1aa906061313b557f8af2c3faa"
 
 HMAC-SHA3-256: NIST example #3: keylen>blocklen
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 mbedtls_md_hmac:MBEDTLS_MD_SHA3_256:32:"000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f606162636465666768696a6b6c6d6e6f707172737475767778797a7b7c7d7e7f808182838485868788898a8b8c8d8e8f909192939495969798999a9b9c9d9e9fa0a1a2a3a4a5a6a7":"53616d706c65206d65737361676520666f72206b65796c656e3e626c6f636b6c656e":"9bcf2c238e235c3ce88404e813bd2f3a97185ac6f238c63d6229a00b07974258"
 
 HMAC-SHA3-256: NIST example #4: keylen<blocklen, with truncated tag
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 mbedtls_md_hmac:MBEDTLS_MD_SHA3_256:16:"000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f":"53616d706c65206d65737361676520666f72206b65796c656e3c626c6f636b6c656e2c2077697468207472756e636174656420746167":"c8dc7148d8c1423aa549105dafdf9cad"
 
 HMAC-SHA3-384: NIST example #1: keylen<blocklen
@@ -749,19 +749,19 @@ depends_on:MBEDTLS_MD_CAN_SHA3_224
 md_hmac_multi:MBEDTLS_MD_SHA3_224:14:"000102030405060708090a0b0c0d0e0f101112131415161718191a1b":"53616d706c65206d65737361676520666f72206b65796c656e3c626c6f636b6c656e2c2077697468207472756e636174656420746167":"8569c54cbb00a9b78ff1b391b0e5"
 
 HMAC-SHA3-256 multi-step: NIST example #1: keylen<blocklen
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 md_hmac_multi:MBEDTLS_MD_SHA3_256:32:"000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f":"53616d706c65206d65737361676520666f72206b65796c656e3c626c6f636b6c656e":"4fe8e202c4f058e8dddc23d8c34e467343e23555e24fc2f025d598f558f67205"
 
 HMAC-SHA3-256 multi-step: NIST example #2: keylen=blocklen
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 md_hmac_multi:MBEDTLS_MD_SHA3_256:32:"000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f606162636465666768696a6b6c6d6e6f707172737475767778797a7b7c7d7e7f8081828384858687":"53616d706c65206d65737361676520666f72206b65796c656e3d626c6f636b6c656e":"68b94e2e538a9be4103bebb5aa016d47961d4d1aa906061313b557f8af2c3faa"
 
 HMAC-SHA3-256 multi-step: NIST example #3: keylen>blocklen
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 md_hmac_multi:MBEDTLS_MD_SHA3_256:32:"000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f202122232425262728292a2b2c2d2e2f303132333435363738393a3b3c3d3e3f404142434445464748494a4b4c4d4e4f505152535455565758595a5b5c5d5e5f606162636465666768696a6b6c6d6e6f707172737475767778797a7b7c7d7e7f808182838485868788898a8b8c8d8e8f909192939495969798999a9b9c9d9e9fa0a1a2a3a4a5a6a7":"53616d706c65206d65737361676520666f72206b65796c656e3e626c6f636b6c656e":"9bcf2c238e235c3ce88404e813bd2f3a97185ac6f238c63d6229a00b07974258"
 
 HMAC-SHA3-256 multi-step: NIST example #4: keylen<blocklen, with truncated tag
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 md_hmac_multi:MBEDTLS_MD_SHA3_256:16:"000102030405060708090a0b0c0d0e0f101112131415161718191a1b1c1d1e1f":"53616d706c65206d65737361676520666f72206b65796c656e3c626c6f636b6c656e2c2077697468207472756e636174656420746167":"c8dc7148d8c1423aa549105dafdf9cad"
 
 HMAC-SHA3-384 multi-step: NIST example #1: keylen<blocklen
@@ -945,19 +945,19 @@ depends_on:MBEDTLS_MD_CAN_SHA3_224
 mbedtls_md_file:MBEDTLS_MD_SHA3_224:"data_files/hash_file_4":"6b4e03423667dbb73b6e15454f0eb1abd4597f9a1b078e3f5b5a6bc7"
 
 generic SHA3-256 Hash file #1
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 mbedtls_md_file:MBEDTLS_MD_SHA3_256:"data_files/hash_file_1":"f429826659dd9f313e6226ced5c841fe1b0e9dd16554392b694fa3000f1ae1e2"
 
 generic SHA3-256 Hash file #2
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 mbedtls_md_file:MBEDTLS_MD_SHA3_256:"data_files/hash_file_2":"3aed2fda8604dbec5a67710b4d4c89a90745e10ee633649e53e75c7e25d30152"
 
 generic SHA3-256 Hash file #3
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 mbedtls_md_file:MBEDTLS_MD_SHA3_256:"data_files/hash_file_3":"c4b6492fd1c475c5e560545a2573b0efcd02d54ef4f63c9d8158dd87bed99d85"
 
 generic SHA3-256 Hash file #4
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 mbedtls_md_file:MBEDTLS_MD_SHA3_256:"data_files/hash_file_4":"a7ffc6f8bf1ed76651c14756a061d662f580ff4de43b49fa82d80a4b80f8434a"
 
 generic SHA3-384 Hash file #1
diff --git a/tests/suites/test_suite_oid.data b/tests/suites/test_suite_oid.data
index d273b306e0..be71915a32 100644
--- a/tests/suites/test_suite_oid.data
+++ b/tests/suites/test_suite_oid.data
@@ -87,7 +87,7 @@ depends_on:MBEDTLS_MD_CAN_SHA3_224
 oid_get_md_alg_id:"608648016503040207":MBEDTLS_MD_SHA3_224
 
 OID hash id - id-sha3-256
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 oid_get_md_alg_id:"608648016503040208":MBEDTLS_MD_SHA3_256
 
 OID hash id - id-sha3-384
@@ -231,7 +231,7 @@ depends_on:MBEDTLS_MD_CAN_SHA3_224
 mbedtls_oid_get_md_hmac:"60864801650304020D":MBEDTLS_MD_SHA3_224
 
 mbedtls_oid_get_md_hmac - SHA3_256
-depends_on:MBEDTLS_MD_CAN_SHA3_256
+depends_on:PSA_WANT_ALG_SHA3_256
 mbedtls_oid_get_md_hmac:"60864801650304020E":MBEDTLS_MD_SHA3_256
 
 mbedtls_oid_get_md_hmac - SHA3_384