diff --git a/src/mux_h2.c b/src/mux_h2.c
index 5457bc2..d69229f 100644
--- a/src/mux_h2.c
+++ b/src/mux_h2.c
@@ -703,7 +703,8 @@
 {
 	struct h2c *h2c = conn->mux_ctx;
 
-	if (conn->flags & CO_FL_ERROR || h2c->st0 == H2_CS_ERROR2) {
+	if (conn->flags & CO_FL_ERROR || conn_xprt_read0_pending(conn) ||
+	    h2c->st0 == H2_CS_ERROR2) {
 		h2_wake_all_streams(h2c);
 
 		if (eb_is_empty(&h2c->streams_by_id)) {