diff --git a/src/mux_h1.c b/src/mux_h1.c
index 3d2bd8b87..e497e6f68 100644
--- a/src/mux_h1.c
+++ b/src/mux_h1.c
@@ -2192,9 +2192,9 @@ static void h1_detach(struct conn_stream *cs)
 		}
 	}
 
-	/* We don't want to close right now unless the connection is in error */
-	if ((h1c->flags & (H1C_F_CS_ERROR|H1C_F_CS_SHUTDOWN|H1C_F_UPG_H2C)) ||
-	    (h1c->conn->flags & CO_FL_ERROR) || !h1c->conn->owner)
+	/* We don't want to close right now unless the connection is in error or shut down for writes */
+	if ((h1c->flags & (H1C_F_CS_ERROR|H1C_F_CS_SHUTW_NOW|H1C_F_CS_SHUTDOWN|H1C_F_UPG_H2C)) ||
+	    (h1c->conn->flags & (CO_FL_ERROR|CO_FL_SOCK_WR_SH)) || !h1c->conn->owner)
 		h1_release(h1c);
 	else {
 		tasklet_wakeup(h1c->wait_event.tasklet);