diff --git a/src/libraries/System.Runtime/tests/System.Runtime.Tests.csproj b/src/libraries/System.Runtime/tests/System.Runtime.Tests.csproj
index 91d560c81a8d8..340550dd75958 100644
--- a/src/libraries/System.Runtime/tests/System.Runtime.Tests.csproj
+++ b/src/libraries/System.Runtime/tests/System.Runtime.Tests.csproj
@@ -16,6 +16,12 @@
     <WithoutCategories Condition="'$(EnableAdditionalTimezoneChecks)' != 'true'">$(WithoutCategories);AdditionalTimezoneChecks</WithoutCategories>
   </PropertyGroup>
 
+  <PropertyGroup Condition="'$(TargetOS)' == 'Browser'">
+    <!-- Workaround for https://github.com/dotnet/runtime/issues/74302 -->
+    <XUnitUseRandomizedTestOrderer>true</XUnitUseRandomizedTestOrderer>
+    <WasmXHarnessMonoArgs>--setenv=XUNIT_RANDOM_ORDER_SEED=1</WasmXHarnessMonoArgs>
+  </PropertyGroup>
+
   <ItemGroup>
     <RdXmlFile Include="default.rd.xml" />
   </ItemGroup>