diff --git a/Directory.Build.props b/Directory.Build.props
index d080a9e0fb8e..3c8fdd0f6b0a 100644
--- a/Directory.Build.props
+++ b/Directory.Build.props
@@ -91,6 +91,11 @@
      <DisableLogTaskParameterItemMetadata_Csc_References>$(TrimTaskParameters)</DisableLogTaskParameterItemMetadata_Csc_References>
   </PropertyGroup>
 
+  <PropertyGroup Condition="'$(IsTrimmingTestProject)' == 'true'">
+    <!-- Should mitigate https://github.com/dotnet/aspnetcore/issues/61178 -->
+    <RestoreDisableParallel>true</RestoreDisableParallel>
+  </PropertyGroup>
+
   <Import Project="eng\QuarantinedTests.BeforeArcade.props" />
   <Import Project="Sdk.props" Sdk="Microsoft.DotNet.Arcade.Sdk" />
   <Import Project="eng\QuarantinedTests.AfterArcade.props" />
diff --git a/eng/testing/linker/project.csproj.template b/eng/testing/linker/project.csproj.template
index 59333742ae1c..a6d9853ec1c6 100644
--- a/eng/testing/linker/project.csproj.template
+++ b/eng/testing/linker/project.csproj.template
@@ -8,6 +8,8 @@
     <MicrosoftNETCoreAppRuntimeVersion>{MicrosoftNETCoreAppRuntimeVersion}</MicrosoftNETCoreAppRuntimeVersion>
     <RepoRoot>{RepoRoot}</RepoRoot>
     <_ExtraTrimmerArgs>{ExtraTrimmerArgs} $(_ExtraTrimmerArgs)</_ExtraTrimmerArgs>
+    <!-- Should mitigate https://github.com/dotnet/aspnetcore/issues/61178 -->
+    <RestoreDisableParallel>true</RestoreDisableParallel>
     {AdditionalProperties}
   </PropertyGroup>
 
diff --git a/eng/testing/linker/trimmingTests.targets b/eng/testing/linker/trimmingTests.targets
index d291a13924e5..e166df218d31 100644
--- a/eng/testing/linker/trimmingTests.targets
+++ b/eng/testing/linker/trimmingTests.targets
@@ -102,9 +102,10 @@
           DependsOnTargets="GenerateProjects">
 
     <MSBuild Projects="@(TestConsoleApps)"
+             BuildInParallel="false"
              Targets="Restore"
              Condition="'$(SkipTrimmingProjectsRestore)' != 'true'"
-             Properties="MSBuildRestoreSessionId=$([System.Guid]::NewGuid());Configuration=$(Configuration)" />
+             Properties="MSBuildRestoreSessionId=$([System.Guid]::NewGuid());Configuration=$(Configuration);RestoreDisableParallel=true" />
 
     <MSBuild Projects="@(TestConsoleApps)"
              Targets="Publish"