diff --git a/src/Servers/Kestrel/Transport.Quic/test/QuicConnectionListenerTests.cs b/src/Servers/Kestrel/Transport.Quic/test/QuicConnectionListenerTests.cs
index 4bf16ac59c75..0080b1d8d342 100644
--- a/src/Servers/Kestrel/Transport.Quic/test/QuicConnectionListenerTests.cs
+++ b/src/Servers/Kestrel/Transport.Quic/test/QuicConnectionListenerTests.cs
@@ -102,6 +102,7 @@ static void AssertTlsConnectionFeature(IFeatureCollection features, X509Certific
     [ConditionalFact]
     [MsQuicSupported]
     [OSSkipCondition(OperatingSystems.Linux | OperatingSystems.MacOSX)]
+    [QuarantinedTest("https://github.com/dotnet/aspnetcore/issues/42389")]
     public async Task ClientCertificate_Required_NotSent_AcceptedViaCallback()
     {
         await using var connectionListener = await QuicTestHelpers.CreateConnectionListenerFactory(LoggerFactory, clientCertificateRequired: true);
diff --git a/src/Servers/Kestrel/test/Interop.FunctionalTests/Http3/Http3TlsTests.cs b/src/Servers/Kestrel/test/Interop.FunctionalTests/Http3/Http3TlsTests.cs
index 67430dc5b054..55a0d7fb7f68 100644
--- a/src/Servers/Kestrel/test/Interop.FunctionalTests/Http3/Http3TlsTests.cs
+++ b/src/Servers/Kestrel/test/Interop.FunctionalTests/Http3/Http3TlsTests.cs
@@ -214,6 +214,7 @@ public async Task ClientCertificate_AllowOrRequire_Available_Invalid_Refused(Cli
     [ConditionalFact]
     [MsQuicSupported]
     [OSSkipCondition(OperatingSystems.MacOSX | OperatingSystems.Linux, SkipReason = "https://github.com/dotnet/aspnetcore/issues/35800")]
+    [QuarantinedTest("https://github.com/dotnet/aspnetcore/issues/42388")]
     public async Task ClientCertificate_Allow_NotAvailable_Optional()
     {
         var builder = CreateHostBuilder(async context =>