diff --git a/src/NoTargets.UnitTests/NoTargetsTests.cs b/src/NoTargets.UnitTests/NoTargetsTests.cs
index 2fb3a002..aafd5860 100644
--- a/src/NoTargets.UnitTests/NoTargetsTests.cs
+++ b/src/NoTargets.UnitTests/NoTargetsTests.cs
@@ -166,6 +166,7 @@ public void ProjectsCanDependOnNoTargetsProjects()
         [InlineData("GenerateMSBuildEditorConfigFile", "false")]
         [InlineData("IncludeBuildOutput", "false")]
         [InlineData("ProduceReferenceAssembly", "false")]
+        [InlineData("SkipCopyBuildProduct", "true")]
         public void PropertiesHaveExpectedValues(string propertyName, string expectedValue)
         {
             ProjectCreator.Templates.NoTargetsProject(
diff --git a/src/NoTargets/Sdk/Sdk.props b/src/NoTargets/Sdk/Sdk.props
index a6cecde4..317ffadd 100644
--- a/src/NoTargets/Sdk/Sdk.props
+++ b/src/NoTargets/Sdk/Sdk.props
@@ -45,6 +45,9 @@
 
     <!-- Don't generate editor config file -->
     <GenerateMSBuildEditorConfigFile Condition="'$(GenerateMSBuildEditorConfigFile)' == ''">false</GenerateMSBuildEditorConfigFile>
+    
+    <!-- Don't log the high priority message mentioning this project's name (or copy the product we didn't build). -->
+    <SkipCopyBuildProduct Condition="'$(SkipCopyBuildProduct)' == ''">true</SkipCopyBuildProduct>
   </PropertyGroup>
 
   <ItemDefinitionGroup Condition=" '$(NoTargetsDoNotReferenceOutputAssemblies)' != 'false' ">