diff --git a/src/Servers/Kestrel/test/FunctionalTests/ResponseTests.cs b/src/Servers/Kestrel/test/FunctionalTests/ResponseTests.cs
index 85b4f8a51c..05148cbebd 100644
--- a/src/Servers/Kestrel/test/FunctionalTests/ResponseTests.cs
+++ b/src/Servers/Kestrel/test/FunctionalTests/ResponseTests.cs
@@ -812,6 +812,7 @@ namespace Microsoft.AspNetCore.Server.Kestrel.FunctionalTests
 
         [Fact]
         [CollectDump]
+        [QuarantinedTest]
         public async Task ConnectionNotClosedWhenClientSatisfiesMinimumDataRateGivenLargeResponseHeaders()
         {
             var headerSize = 1024 * 1024; // 1 MB for each header value
diff --git a/src/Servers/Kestrel/test/InMemory.FunctionalTests/Http2/Http2ConnectionTests.cs b/src/Servers/Kestrel/test/InMemory.FunctionalTests/Http2/Http2ConnectionTests.cs
index d8b71f9098..bcc4b43fe9 100644
--- a/src/Servers/Kestrel/test/InMemory.FunctionalTests/Http2/Http2ConnectionTests.cs
+++ b/src/Servers/Kestrel/test/InMemory.FunctionalTests/Http2/Http2ConnectionTests.cs
@@ -27,6 +27,7 @@ namespace Microsoft.AspNetCore.Server.Kestrel.Core.Tests
     public class Http2ConnectionTests : Http2TestBase
     {
         [Fact]
+        [QuarantinedTest]
         public async Task FlowControl_ParallelStreams_FirstInFirstOutOrder()
         {
             var writeTcs = new TaskCompletionSource<object>(TaskCreationOptions.RunContinuationsAsynchronously);