diff --git a/okhttp-testing-support/src/main/kotlin/okhttp3/testing/PlatformRule.kt b/okhttp-testing-support/src/main/kotlin/okhttp3/testing/PlatformRule.kt
index 9d027b5ac..22e696d1a 100644
--- a/okhttp-testing-support/src/main/kotlin/okhttp3/testing/PlatformRule.kt
+++ b/okhttp-testing-support/src/main/kotlin/okhttp3/testing/PlatformRule.kt
@@ -208,6 +208,8 @@ open class PlatformRule @JvmOverloads constructor(
 
   fun isBouncyCastle() = getPlatformSystemProperty() == BOUNCYCASTLE_PROPERTY
 
+  fun isOpenJsse() = getPlatformSystemProperty() == OPENJSSE_PROPERTY
+
   fun isGraalVMImage() = TestUtil.isGraalVmImage
 
   fun hasHttp2Support() = !isJdk8()
@@ -240,6 +242,10 @@ open class PlatformRule @JvmOverloads constructor(
     assumeTrue(getPlatformSystemProperty() == BOUNCYCASTLE_PROPERTY)
   }
 
+  fun assumeOpenJsse() {
+    assumeTrue(getPlatformSystemProperty() == OPENJSSE_PROPERTY)
+  }
+
   fun assumeHttp2Support() {
     assumeTrue(getPlatformSystemProperty() != JDK8_PROPERTY)
   }
@@ -283,6 +289,10 @@ open class PlatformRule @JvmOverloads constructor(
     assumeTrue(getPlatformSystemProperty() != BOUNCYCASTLE_PROPERTY)
   }
 
+  fun assumeNotOpenJsse() {
+    assumeTrue(getPlatformSystemProperty() != OPENJSSE_PROPERTY)
+  }
+
   fun assumeNotHttp2Support() {
     assumeTrue(getPlatformSystemProperty() == JDK8_PROPERTY)
   }
diff --git a/okhttp/src/test/java/okhttp3/CallHandshakeTest.kt b/okhttp/src/test/java/okhttp3/CallHandshakeTest.kt
index 87cbd813b..8818d57a4 100644
--- a/okhttp/src/test/java/okhttp3/CallHandshakeTest.kt
+++ b/okhttp/src/test/java/okhttp3/CallHandshakeTest.kt
@@ -129,8 +129,10 @@ class CallHandshakeTest {
 
   @Test
   fun testDefaultHandshakeCipherSuiteOrderingTls13Modern() {
-    // Requires modern JVM
-    platform.expectFailureOnJdkVersion(8)
+    if (!platform.isOpenJsse()) {
+      // Requires modern JVM
+      platform.expectFailureOnJdkVersion(8)
+    }
 
     val client = makeClient(ConnectionSpec.MODERN_TLS, TlsVersion.TLS_1_3)
 
diff --git a/okhttp/src/test/java/okhttp3/SessionReuseTest.kt b/okhttp/src/test/java/okhttp3/SessionReuseTest.kt
index 050010318..a29722add 100644
--- a/okhttp/src/test/java/okhttp3/SessionReuseTest.kt
+++ b/okhttp/src/test/java/okhttp3/SessionReuseTest.kt
@@ -107,8 +107,10 @@ class SessionReuseTest(
     // Force reuse. This appears flaky (30% of the time) even though sessions are reused.
     // javax.net.ssl.SSLHandshakeException: No new session is allowed and no existing
     // session can be resumed
-    // TODO: raise JDK bug.
-    if (!platform.isJdk9()) {
+    //
+    // Report https://bugs.java.com/bugdatabase/view_bug.do?bug_id=JDK-8264944
+    // Sessions improvement https://bugs.java.com/bugdatabase/view_bug.do?bug_id=JDK-8245576
+    if (!platform.isJdk9() && !platform.isOpenJsse() && !platform.isJdk8Alpn()) {
       reuseSession = true
     }