diff --git a/src/mux_h2.c b/src/mux_h2.c
index 733687e7b..0c2fcdeb2 100644
--- a/src/mux_h2.c
+++ b/src/mux_h2.c
@@ -3066,7 +3066,7 @@ static int h2_snd_buf(struct conn_stream *cs, struct buffer *buf, int flags)
 		if (h2s->res.state < HTTP_MSG_BODY) {
 			total += h2s_frt_make_resp_headers(h2s, buf);
 
-			if (h2s->st == H2_SS_ERROR)
+			if (h2s->st >= H2_SS_ERROR)
 				break;
 
 			if (h2s->flags & H2_SF_BLK_ANY)
@@ -3075,7 +3075,7 @@ static int h2_snd_buf(struct conn_stream *cs, struct buffer *buf, int flags)
 		else if (h2s->res.state < HTTP_MSG_TRAILERS) {
 			total += h2s_frt_make_resp_data(h2s, buf);
 
-			if (h2s->st == H2_SS_ERROR)
+			if (h2s->st >= H2_SS_ERROR)
 				break;
 
 			if (h2s->flags & H2_SF_BLK_ANY)
@@ -3102,7 +3102,7 @@ static int h2_snd_buf(struct conn_stream *cs, struct buffer *buf, int flags)
 	}
 
 	/* RST are sent similarly to frame acks */
-	if (h2s->st == H2_SS_ERROR) {
+	if (h2s->st >= H2_SS_ERROR) {
 		cs->flags |= CS_FL_ERROR;
 		if (h2s_send_rst_stream(h2s->h2c, h2s) > 0)
 			h2s->st = H2_SS_CLOSED;