diff --git a/test/OpenTelemetry.Instrumentation.W3cTraceContext.Tests/Dockerfile b/test/OpenTelemetry.Instrumentation.W3cTraceContext.Tests/Dockerfile
index b0c7a87696e..0508036d3e8 100644
--- a/test/OpenTelemetry.Instrumentation.W3cTraceContext.Tests/Dockerfile
+++ b/test/OpenTelemetry.Instrumentation.W3cTraceContext.Tests/Dockerfile
@@ -9,7 +9,7 @@ FROM ubuntu AS w3c
 #Install git
 WORKDIR /w3c
 RUN apt-get update && apt-get install -y git
-RUN git clone https://github.com/w3c/trace-context.git
+RUN git clone --branch level-1 https://github.com/w3c/trace-context.git
 
 FROM mcr.microsoft.com/dotnet/sdk:${BUILD_SDK_VERSION} AS build
 ARG PUBLISH_CONFIGURATION=Release
diff --git a/test/OpenTelemetry.Instrumentation.W3cTraceContext.Tests/W3CTraceContextTests.cs b/test/OpenTelemetry.Instrumentation.W3cTraceContext.Tests/W3CTraceContextTests.cs
index 58ec321d600..aacc918f67a 100644
--- a/test/OpenTelemetry.Instrumentation.W3cTraceContext.Tests/W3CTraceContextTests.cs
+++ b/test/OpenTelemetry.Instrumentation.W3cTraceContext.Tests/W3CTraceContextTests.cs
@@ -103,11 +103,11 @@ public void W3CTraceContextTestSuiteAsync(string value)
 
         if (AspNetCoreHostingVersion.Major <= 6)
         {
-            Assert.StartsWith("FAILED (failures=5)", lastLine);
+            Assert.StartsWith("FAILED (failures=3)", lastLine);
         }
         else
         {
-            Assert.StartsWith("FAILED (failures=2)", lastLine);
+            Assert.StartsWith("OK", lastLine);
         }
     }
 
diff --git a/test/OpenTelemetry.Instrumentation.W3cTraceContext.Tests/docker-compose.yml b/test/OpenTelemetry.Instrumentation.W3cTraceContext.Tests/docker-compose.yml
index ae3253078ce..7c421786f5c 100644
--- a/test/OpenTelemetry.Instrumentation.W3cTraceContext.Tests/docker-compose.yml
+++ b/test/OpenTelemetry.Instrumentation.W3cTraceContext.Tests/docker-compose.yml
@@ -11,4 +11,3 @@ services:
     command: --TestCaseFilter:CategoryName=W3CTraceContextTests
     environment:
       - OTEL_W3CTRACECONTEXT=enabled
-      - SPEC_LEVEL=2