diff --git a/mmv1/third_party/terraform/.teamcity/components/generated/project.erb b/mmv1/third_party/terraform/.teamcity/components/generated/project.erb
index 8453e7ad3879..142df723ffac 100644
--- a/mmv1/third_party/terraform/.teamcity/components/generated/project.erb
+++ b/mmv1/third_party/terraform/.teamcity/components/generated/project.erb
@@ -60,8 +60,12 @@ fun Google<%= version.capitalize unless version == 'ga' -%>(environment: String,
         // Adding this allows custom builds to use alternative branches. E.g. testing release branches in the downstreams
 
         params {
+            // Controls the VCS root, and allows custom builds to point at different branches
             param("BRANCH_NAME", branchRef)
-            
+<% unless version == 'ga' -%>
+            // Skip the sweeper for project resources in the Beta tests only
+            param("env.SKIP_PROJECT_SWEEPER", 1)
+<% end -%>
             // Not used, but making `environment` a param makes the value visible to non-admins in TeamCity
             param("ENVIRONMENT", environment)
         }
diff --git a/mmv1/third_party/terraform/services/resourcemanager/resource_google_project_sweeper.go b/mmv1/third_party/terraform/services/resourcemanager/resource_google_project_sweeper.go
index 33ec9a89712d..a2492a3784be 100644
--- a/mmv1/third_party/terraform/services/resourcemanager/resource_google_project_sweeper.go
+++ b/mmv1/third_party/terraform/services/resourcemanager/resource_google_project_sweeper.go
@@ -21,6 +21,7 @@ func init() {
 	// already be in-progress.
 	// Example: SKIP_PROJECT_SWEEPER=1 go test ./google -v -sweep=us-central1 -sweep-run=
 	if os.Getenv("SKIP_PROJECT_SWEEPER") != "" {
+		// No logging here - see https://github.com/GoogleCloudPlatform/magic-modules/pull/7439
 		return
 	}