diff --git a/tests/mute-platform.csv b/tests/mute-platform.csv
index 09b3a4f83da..27fcabcc901 100644
--- a/tests/mute-platform.csv
+++ b/tests/mute-platform.csv
@@ -17,4 +17,6 @@ org.jetbrains.kotlin.idea.completion.test.JvmBasicCompletionTestGenerated.Java.S
 org.jetbrains.kotlin.idea.completion.test.JvmBasicCompletionTestGenerated.Java.SyntheticExtensions.testSafeCall, KT-32919
 org.jetbrains.kotlin.idea.completion.test.JvmBasicCompletionTestGenerated.Java.SyntheticExtensions.testSmartCast, KT-32919
 org.jetbrains.kotlin.idea.completion.test.JvmBasicCompletionTestGenerated.Java.SyntheticExtensions.testSmartCast2, KT-32919
-org.jetbrains.kotlin.idea.completion.test.JvmBasicCompletionTestGenerated.Java.SyntheticExtensions.testSyntheticExtensions1, KT-32919
\ No newline at end of file
+org.jetbrains.kotlin.idea.completion.test.JvmBasicCompletionTestGenerated.Java.SyntheticExtensions.testSyntheticExtensions1, KT-32919
+org.jetbrains.kotlin.idea.completion.test.weighers.BasicCompletionWeigherTestGenerated.testPreferFromJdk, KT-35709 Class from JDK is not prioritized
+org.jetbrains.kotlin.idea.quickfix.QuickFixMultiFileTestGenerated.AutoImports.testAmbiguousNamePreferFromJdk, KT-35709 Class from JDK is not prioritized
\ No newline at end of file
diff --git a/tests/mute-platform.csv.191 b/tests/mute-platform.csv.191
index fdfe0abd2dc..3158908ea76 100644
--- a/tests/mute-platform.csv.191
+++ b/tests/mute-platform.csv.191
@@ -1,6 +1,8 @@
 Test key, Issue, State (optional: MUTE or FAIL)
 org.jetbrains.kotlin.idea.caches.resolve.MultiModuleHighlightingTest.testLazyResolvers
 org.jetbrains.kotlin.idea.caches.resolve.MultiModuleHighlightingTest.testRecomputeResolversOnChange
+org.jetbrains.kotlin.idea.completion.test.weighers.BasicCompletionWeigherTestGenerated.testPreferFromJdk, KT-35709 Class from JDK is not prioritized
+org.jetbrains.kotlin.idea.quickfix.QuickFixMultiFileTestGenerated.AutoImports.testAmbiguousNamePreferFromJdk, KT-35709 Class from JDK is not prioritized
 org.jetbrains.kotlin.j2k.JavaToKotlinConverterSingleFileTestGenerated.ToKotlinClasses.testIterableAndIterator
 org.jetbrains.kotlin.j2k.JavaToKotlinConverterSingleFileTestGenerated.ToKotlinClasses.testIterableAndIterator2
 org.jetbrains.kotlin.j2k.JavaToKotlinConverterSingleFileTestGenerated.ToKotlinClasses.testIterableAndIterator3