diff --git a/test/SdkTests/TestConfig.xml b/test/SdkTests/TestConfig.xml
index 9b38840fd..f5b3aa523 100644
--- a/test/SdkTests/TestConfig.xml
+++ b/test/SdkTests/TestConfig.xml
@@ -61,5 +61,9 @@
             Skip="true"
             Issue=""
             Reason="Requires props file not in installer repo"/>
+    <Method Name="Microsoft.NET.Publish.Tests.GivenThatWeWantToPublishAHelloWorldProject.It_publishes_portable_apps_to_the_publish_folder_and_the_app_should_run"
+            Skip="true"
+            Issue="https://github.com/dotnet/sdk/pull/3574"
+            Reason="Requires the 1.1 runtime, renenable when removed"/>
   </SkippedTests>
 </Tests>
diff --git a/test/SdkTests/TestConfigStableSDK.xml b/test/SdkTests/TestToSkipStableSDK.xml
similarity index 96%
rename from test/SdkTests/TestConfigStableSDK.xml
rename to test/SdkTests/TestToSkipStableSDK.xml
index 7140b5f76..d1138b370 100644
--- a/test/SdkTests/TestConfigStableSDK.xml
+++ b/test/SdkTests/TestToSkipStableSDK.xml
@@ -4,10 +4,6 @@
             Skip="true"
             Issue=""
             Reason="Cannot run with non-existent LastRuntimeFrameworkVersion"/>
-    <Method Name="Microsoft.NET.Publish.Tests.GivenThatWeWantToRunILLink.ILLink_links_simple_app_without_analysis_warnings_and_it_runs"
-            Skip="true"
-            Issue=""
-            Reason="Cannot run with non-existent LastRuntimeFrameworkVersion"/>
     <Method Name="Microsoft.NET.Publish.Tests.GivenThatWeWantToRunILLink.ILLink_does_not_include_leftover_artifacts_on_second_run"
             Skip="true"
             Issue=""
@@ -152,10 +148,6 @@
             Skip="true"
             Issue=""
             Reason="Cannot run with non-existent LastRuntimeFrameworkVersion"/>
-    <Method Name="Microsoft.NET.Build.Tests.AppHostTests.It_builds_a_runnable_apphost_by_default"
-            Skip="true"
-            Issue=""
-            Reason="Cannot run with non-existent LastRuntimeFrameworkVersion"/>
     <Method Name="Microsoft.NET.Publish.Tests.GivenThatWeWantToPublishASingleFileApp.It_can_include_ni_pdbs_in_single_file"
             Skip="true"
             Issue=""
diff --git a/test/SdkTests/TestsToSkipLinux.xml b/test/SdkTests/TestsToSkipLinux.xml
index b2bfd698a..adc3dcbc5 100644
--- a/test/SdkTests/TestsToSkipLinux.xml
+++ b/test/SdkTests/TestsToSkipLinux.xml
@@ -6,5 +6,13 @@
     <Method Name="Microsoft.NET.Build.Tests.GivenThatWeWantToBuildASelfContainedApp.It_builds_a_runnable_output"
             Skip="true"
             Reason=".NET Core 1.1 fails to publish on distributions with unsupported RIDs."/>
+    <Method Name="Microsoft.NET.Publish.Tests.GivenThatWeWantToRunILLink.ILLink_links_simple_app_without_analysis_warnings_and_it_runs"
+            Skip="true"
+            Issue=""
+            Reason="Fails on 3.1 on linux for missing ICU package"/>
+    <Method Name="Microsoft.NET.Build.Tests.AppHostTests.It_builds_a_runnable_apphost_by_default"
+            Skip="true"
+            Issue=""
+            Reason="Fails on 3.1 on linux for missing ICU package"/>
   </SkippedTests>
 </Tests>