diff --git a/src/mux_h2.c b/src/mux_h2.c
index 5cdd43a..9c20b11 100644
--- a/src/mux_h2.c
+++ b/src/mux_h2.c
@@ -3011,7 +3011,7 @@
 	}
 	h2_send(h2c);
 
-	if (unlikely(h2c->proxy->state == PR_STSTOPPED)) {
+	if (unlikely(h2c->proxy->state == PR_STSTOPPED) && !(h2c->flags & H2_CF_IS_BACK)) {
 		/* frontend is stopping, reload likely in progress, let's try
 		 * to announce a graceful shutdown if not yet done. We don't
 		 * care if it fails, it will be tried again later.