diff --git a/modules/mesh-delivery-assigner/cmd/mesh-delivery-assigner/integration_test.go b/modules/mesh-delivery-assigner/cmd/mesh-delivery-assigner/integration_test.go
index 93dc6d1..2f732fd 100644
--- a/modules/mesh-delivery-assigner/cmd/mesh-delivery-assigner/integration_test.go
+++ b/modules/mesh-delivery-assigner/cmd/mesh-delivery-assigner/integration_test.go
@@ -104,7 +104,10 @@ func (b *bed) startStoppable(t *testing.T) (<-chan error, func()) {
 	env := map[string]string{"MESH_BROKER_FILE": broker}
 	ctx, stop := context.WithCancel(b.ctx)
 	done := make(chan error, 1)
-	go func() { done <- run(ctx, func(k string) string { return env[k] }, io.Discard) }()
+	go func() {
+		done <- run(ctx, func(k string) string { return env[k] }, io.Discard)
+		close(done) // a program that ended on its own (a refused start) is not waited for again at the cleanup
+	}()
 	stopped := func() {
 		stop()
 		select {