diff --git a/src/mux_h2.c b/src/mux_h2.c
index af69304..f54b67d 100644
--- a/src/mux_h2.c
+++ b/src/mux_h2.c
@@ -1423,7 +1423,7 @@
 		flags |= CS_FL_ERR_PENDING;
 
 	if (conn_xprt_read0_pending(h2c->conn))
-		flags |= CS_FL_REOS;
+		flags |= (CS_FL_REOS|CS_FL_READ_NULL);
 
 	/* Wake all streams with ID > last */
 	node = eb32_lookup_ge(&h2c->streams_by_id, last + 1);