diff --git a/src/Servers/Kestrel/test/FunctionalTests/Http2/ShutdownTests.cs b/src/Servers/Kestrel/test/FunctionalTests/Http2/ShutdownTests.cs
index acaeb92345..99606310d5 100644
--- a/src/Servers/Kestrel/test/FunctionalTests/Http2/ShutdownTests.cs
+++ b/src/Servers/Kestrel/test/FunctionalTests/Http2/ShutdownTests.cs
@@ -44,6 +44,7 @@ namespace Microsoft.AspNetCore.Server.Kestrel.FunctionalTests.Http2
         [CollectDump]
         [ConditionalFact]
         [SkipOnHelix("https://github.com/dotnet/aspnetcore/issues/9985", Queues = "Fedora.28.Amd64;Fedora.28.Amd64.Open")]
+        [QuarantinedTest("https://github.com/dotnet/aspnetcore/issues/25046")]
         public async Task GracefulShutdownWaitsForRequestsToFinish()
         {
             var requestStarted = new TaskCompletionSource(TaskCreationOptions.RunContinuationsAsynchronously);
diff --git a/src/Servers/Kestrel/test/FunctionalTests/MaxRequestBufferSizeTests.cs b/src/Servers/Kestrel/test/FunctionalTests/MaxRequestBufferSizeTests.cs
index 2ca0fa3d9e..558f36e270 100644
--- a/src/Servers/Kestrel/test/FunctionalTests/MaxRequestBufferSizeTests.cs
+++ b/src/Servers/Kestrel/test/FunctionalTests/MaxRequestBufferSizeTests.cs
@@ -204,6 +204,7 @@ namespace Microsoft.AspNetCore.Server.Kestrel.FunctionalTests
         }
 
         [Fact]
+        [QuarantinedTest("https://github.com/dotnet/aspnetcore/issues/24557")]
         public async Task ServerShutsDownGracefullyWhenMaxRequestBufferSizeExceeded()
         {
             // Parameters