diff --git a/mmv1/third_party/terraform/services/composer/resource_composer_environment_test.go.erb b/mmv1/third_party/terraform/services/composer/resource_composer_environment_test.go.erb
index 46eb7a6d269c..b2e59f3a98fe 100644
--- a/mmv1/third_party/terraform/services/composer/resource_composer_environment_test.go.erb
+++ b/mmv1/third_party/terraform/services/composer/resource_composer_environment_test.go.erb
@@ -2607,6 +2607,7 @@ resource "google_composer_environment" "test" {
       service_account = google_service_account.test.name
     }
   }
+  depends_on = [google_project_iam_member.composer-worker]
 }
 
 // use a separate network to avoid conflicts with other tests running in parallel
@@ -2682,6 +2683,7 @@ resource "google_composer_environment" "test" {
       service_account = google_service_account.test.name
     }
   }
+  depends_on = [google_project_iam_member.composer-worker]
 }
 
 // use a separate network to avoid conflicts with other tests running in parallel