diff --git a/dd-java-agent/instrumentation-testing/src/main/groovy/datadog/trace/agent/test/base/HttpServerTest.groovy b/dd-java-agent/instrumentation-testing/src/main/groovy/datadog/trace/agent/test/base/HttpServerTest.groovy
index 8988f4e790b..ac752fd3efe 100644
--- a/dd-java-agent/instrumentation-testing/src/main/groovy/datadog/trace/agent/test/base/HttpServerTest.groovy
+++ b/dd-java-agent/instrumentation-testing/src/main/groovy/datadog/trace/agent/test/base/HttpServerTest.groovy
@@ -1996,7 +1996,7 @@ abstract class HttpServerTest<SERVER> extends WithHttpServer<SERVER> {
     rootSpan.tags['appsec.blocked'] == 'true'
   }
 
-  @Flaky(value = "AppSec overwrites test context when enabled, causing test context to be lost", suites = ["Jetty10V1ForkedTest"])
+  @Flaky(value = "AppSec overwrites test context when enabled, causing test context to be lost", suites = ["Jetty10V0ForkedTest", "Jetty10V1ForkedTest"])
   def 'test session id publishes to IG'() {
     setup:
     assumeTrue(testSessionId())