diff --git a/src/mux_h2.c b/src/mux_h2.c
index d74a6bd13..6e4dc1039 100644
--- a/src/mux_h2.c
+++ b/src/mux_h2.c
@@ -2178,8 +2178,9 @@ static void h2s_wake_one_stream(struct h2s *h2s)
 			h2s_close(h2s);
 	}
 
-	if (h2s->h2c->st0 >= H2_CS_ERROR || (h2s->h2c->flags & H2_CF_ERROR) ||
-	    (h2s->h2c->last_sid > 0 && (!h2s->id || h2s->id > h2s->h2c->last_sid))) {
+	if ((h2s->st != H2_SS_CLOSED) &&
+	    (h2s->h2c->st0 >= H2_CS_ERROR || (h2s->h2c->flags & H2_CF_ERROR) ||
+	     (h2s->h2c->last_sid > 0 && (!h2s->id || h2s->id > h2s->h2c->last_sid)))) {
 		se_fl_set_error(h2s->sd);
 
 		if (h2s->st < H2_SS_ERROR)