diff --git a/src/Servers/Kestrel/test/BindTests/AddressRegistrationTests.cs b/src/Servers/Kestrel/test/BindTests/AddressRegistrationTests.cs
index 9d6c376e3247..f1fcec949bda 100644
--- a/src/Servers/Kestrel/test/BindTests/AddressRegistrationTests.cs
+++ b/src/Servers/Kestrel/test/BindTests/AddressRegistrationTests.cs
@@ -129,12 +129,13 @@ public async Task RegisterAddresses_IPv6_Success(string addressInput, string[] t
         }
 
         [ConditionalTheory]
-        [MemberData(nameof(AddressRegistrationDataIPv6Port5000Default))]
+        [MemberData(nameof(AddressRegistrationDataIPv6Port5000And5001Default))]
         [IPv6SupportedCondition]
         [QuarantinedTest("https://github.com/dotnet/aspnetcore-internal/issues/2711")]
-        public async Task RegisterAddresses_IPv6Port5000Default_Success(string addressInput, string[] testUrls)
+        public async Task RegisterAddresses_IPv6Port5000And5001Default_Success(string addressInput, string[] testUrls)
         {
-            if (!CanBindToEndpoint(IPAddress.Loopback, 5000) || !CanBindToEndpoint(IPAddress.IPv6Loopback, 5000))
+            if ((!CanBindToEndpoint(IPAddress.Loopback, 5000) || !CanBindToEndpoint(IPAddress.IPv6Loopback, 5000)) &&
+                (!CanBindToEndpoint(IPAddress.Loopback, 5001) || !CanBindToEndpoint(IPAddress.IPv6Loopback, 5001)))
             {
                 return;
             }
@@ -183,7 +184,13 @@ public async Task RegisterAddresses_IPv6LocalhostStaticPort_Success()
         private async Task RegisterAddresses_Success(string addressInput, string[] testUrls, int testPort = 0)
         {
             var hostBuilder = TransportSelector.GetWebHostBuilder()
-                .UseKestrel()
+                .UseKestrel(serverOptions =>
+                {
+                    serverOptions.ConfigureHttpsDefaults(httpsOptions =>
+                    {
+                        httpsOptions.ServerCertificate = TestResources.GetTestCertificate();
+                    });
+                })
                 .ConfigureServices(AddTestLogging)
                 .UseUrls(addressInput)
                 .Configure(ConfigureEchoAddress);
@@ -1038,11 +1045,11 @@ public static TheoryData<string, string[]> AddressRegistrationDataIPv6
             }
         }
 
-        public static TheoryData<string, string[]> AddressRegistrationDataIPv6Port5000Default =>
+        public static TheoryData<string, string[]> AddressRegistrationDataIPv6Port5000And5001Default =>
             new TheoryData<string, string[]>
             {
-                { null, new[] { "http://127.0.0.1:5000/", "http://[::1]:5000/" } },
-                { string.Empty, new[] { "http://127.0.0.1:5000/", "http://[::1]:5000/" } }
+                { null, new[] { "http://127.0.0.1:5000/", "http://[::1]:5000/", "https://127.0.0.1:5001/", "https://[::1]:5001/" } },
+                { string.Empty, new[] { "http://127.0.0.1:5000/", "http://[::1]:5000/", "https://127.0.0.1:5001/", "https://[::1]:5001/" } }
             };
 
         public static TheoryData<string, string[]> AddressRegistrationDataIPv6Port80 =>