diff --git a/.changelog/9610.txt b/.changelog/9610.txt
new file mode 100644
index 0000000000..8ec013c069
--- /dev/null
+++ b/.changelog/9610.txt
@@ -0,0 +1,3 @@
+```release-note:none
+
+```
diff --git a/google-beta/services/composer/resource_composer_environment_test.go b/google-beta/services/composer/resource_composer_environment_test.go
index 2c1d284b2a..fc1cb4b002 100644
--- a/google-beta/services/composer/resource_composer_environment_test.go
+++ b/google-beta/services/composer/resource_composer_environment_test.go
@@ -2590,6 +2590,7 @@ 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
@@ -2665,6 +2666,7 @@ 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