diff --git a/src/mux_quic.c b/src/mux_quic.c
index ffbb663ee..947c10609 100644
--- a/src/mux_quic.c
+++ b/src/mux_quic.c
@@ -194,16 +194,18 @@ static struct qcs *qcs_new(struct qcc *qcc, uint64_t id, enum qcs_type type)
 	tot_time_reset(&qcs->timer.fctl);
 	tot_time_start(&qcs->timer.base);
 
-	qcs->sd = sedesc_new();
-	if (!qcs->sd)
-		goto err;
-	qcs->sd->se   = qcs;
-	qcs->sd->conn = qcc->conn;
-	se_fl_set(qcs->sd, SE_FL_T_MUX | SE_FL_ORPHAN | SE_FL_NOT_FIRST);
-	se_expect_no_data(qcs->sd);
+	if (!conn_is_back(conn)) {
+		qcs->sd = sedesc_new();
+		if (!qcs->sd)
+			goto err;
+		qcs->sd->se   = qcs;
+		qcs->sd->conn = qcc->conn;
+		se_fl_set(qcs->sd, SE_FL_T_MUX | SE_FL_ORPHAN | SE_FL_NOT_FIRST);
+		se_expect_no_data(qcs->sd);
 
-	if (!(global.tune.no_zero_copy_fwd & NO_ZERO_COPY_FWD_QUIC_SND))
-		se_fl_set(qcs->sd, SE_FL_MAY_FASTFWD_CONS);
+		if (!(global.tune.no_zero_copy_fwd & NO_ZERO_COPY_FWD_QUIC_SND))
+			se_fl_set(qcs->sd, SE_FL_MAY_FASTFWD_CONS);
+	}
 
 	/* Allocate transport layer stream descriptor. Only needed for TX. */
 	if (!quic_stream_is_uni(id) || !quic_stream_is_remote(qcc, id)) {