diff --git a/src/connection.c b/src/connection.c
index 97378632c..057047417 100644
--- a/src/connection.c
+++ b/src/connection.c
@@ -134,7 +134,7 @@ fail:
 			/* If connection is interrupted  without CO_FL_ERROR, receiver task won't free it. */
 			BUG_ON(!(conn->flags & CO_FL_ERROR));
 
-			task_wakeup(l->rx.rhttp.task, TASK_WOKEN_ANY);
+			task_wakeup(l->rx.rhttp.task, TASK_WOKEN_RES);
 		}
 		return -1;
 	} else
@@ -2796,7 +2796,7 @@ int conn_reverse(struct connection *conn)
 
 		conn->target = &l->obj_type;
 		conn->flags |= CO_FL_ACT_REVERSING;
-		task_wakeup(l->rx.rhttp.task, TASK_WOKEN_ANY);
+		task_wakeup(l->rx.rhttp.task, TASK_WOKEN_RES);
 	}
 
 	/* Invert source and destination addresses if already set. */
diff --git a/src/proto_rhttp.c b/src/proto_rhttp.c
index 55f10ec3a..736351375 100644
--- a/src/proto_rhttp.c
+++ b/src/proto_rhttp.c
@@ -387,7 +387,7 @@ void rhttp_enable_listener(struct listener *l)
 		l->rx.rhttp.state = LI_PRECONN_ST_INIT;
 	}
 
-	task_wakeup(l->rx.rhttp.task, TASK_WOKEN_ANY);
+	task_wakeup(l->rx.rhttp.task, TASK_WOKEN_INIT);
 }
 
 void rhttp_disable_listener(struct listener *l)