diff --git a/src/mux_h2.c b/src/mux_h2.c
index 5d9bb20e9..8b670df64 100644
--- a/src/mux_h2.c
+++ b/src/mux_h2.c
@@ -2274,6 +2274,7 @@ static void h2s_wake_one_stream(struct h2s *h2s)
 	    (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);
+		h2s_propagate_term_flags(h2c, h2s);
 
 		if (h2s->st < H2_SS_ERROR)
 			h2s->st = H2_SS_ERROR;