diff --git a/src/Servers/IIS/IIS/test/Common.FunctionalTests/StartupTests.cs b/src/Servers/IIS/IIS/test/Common.FunctionalTests/StartupTests.cs
index 704c81acbf72..bd6f15188f0a 100644
--- a/src/Servers/IIS/IIS/test/Common.FunctionalTests/StartupTests.cs
+++ b/src/Servers/IIS/IIS/test/Common.FunctionalTests/StartupTests.cs
@@ -1040,6 +1040,7 @@ public async Task CheckValidConsoleFunctions()
         }
 
         [ConditionalFact]
+        [QuarantinedTest("https://github.com/dotnet/aspnetcore/issues/37932")]
         public async Task Gets500_30_ErrorPage()
         {
             var deploymentParameters = Fixture.GetBaseDeploymentParameters(Fixture.InProcessTestSite);
diff --git a/src/Servers/Kestrel/test/InMemory.FunctionalTests/Http2/Http2ConnectionTests.cs b/src/Servers/Kestrel/test/InMemory.FunctionalTests/Http2/Http2ConnectionTests.cs
index 51d58036f5e4..5808073a0d0f 100644
--- a/src/Servers/Kestrel/test/InMemory.FunctionalTests/Http2/Http2ConnectionTests.cs
+++ b/src/Servers/Kestrel/test/InMemory.FunctionalTests/Http2/Http2ConnectionTests.cs
@@ -240,6 +240,7 @@ public ResponseTrailersWrapper(IHeaderDictionary headers)
         }
 
         [Fact]
+        [QuarantinedTest("https://github.com/dotnet/aspnetcore/issues/37930")]
         public async Task ResponseTrailers_MultipleStreams_Reset()
         {
             IEnumerable<KeyValuePair<string, string>> requestHeaders = new[]