diff --git a/include/haproxy/mux_quic.h b/include/haproxy/mux_quic.h
index 1d374b0b0..1d5b962c0 100644
--- a/include/haproxy/mux_quic.h
+++ b/include/haproxy/mux_quic.h
@@ -21,7 +21,7 @@ void qcs_notify_send(struct qcs *qcs);
 
 void qcc_emit_cc_app(struct qcc *qcc, int err, int immediate);
 void qcc_reset_stream(struct qcs *qcs, int err);
-void qcc_send_stream(struct qcs *qcs);
+void qcc_send_stream(struct qcs *qcs, int urg);
 void qcc_abort_stream_read(struct qcs *qcs);
 int qcc_recv(struct qcc *qcc, uint64_t id, uint64_t len, uint64_t offset,
              char fin, char *data);
diff --git a/src/h3.c b/src/h3.c
index e84044857..d51e35ff8 100644
--- a/src/h3.c
+++ b/src/h3.c
@@ -1034,7 +1034,7 @@ static int h3_control_send(struct qcs *qcs, void *ctx)
 	ret = b_force_xfer(res, &pos, b_data(&pos));
 	if (ret > 0) {
 		/* Register qcs for sending before other streams. */
-		qcc_send_stream(qcs);
+		qcc_send_stream(qcs, 1);
 		h3c->flags |= H3_CF_SETTINGS_SENT;
 	}
 
diff --git a/src/mux_quic.c b/src/mux_quic.c
index 6a324acf5..bb30f588a 100644
--- a/src/mux_quic.c
+++ b/src/mux_quic.c
@@ -821,8 +821,11 @@ void qcc_reset_stream(struct qcs *qcs, int err)
 	tasklet_wakeup(qcc->wait_event.tasklet);
 }
 
-/* Register <qcs> stream for emission of STREAM, STOP_SENDING or RESET_STREAM. */
-void qcc_send_stream(struct qcs *qcs)
+/* Register <qcs> stream for emission of STREAM, STOP_SENDING or RESET_STREAM.
+ * Set <urg> to 1 if stream content should be treated in priority compared to
+ * other streams.
+ */
+void qcc_send_stream(struct qcs *qcs, int urg)
 {
 	struct qcc *qcc = qcs->qcc;
 
@@ -831,8 +834,14 @@ void qcc_send_stream(struct qcs *qcs)
 	/* Cannot send if already closed. */
 	BUG_ON(qcs_is_close_local(qcs));
 
-	if (!LIST_INLIST(&qcs->el_send))
-		LIST_APPEND(&qcs->qcc->send_list, &qcs->el_send);
+	if (urg) {
+		LIST_DEL_INIT(&qcs->el_send);
+		LIST_INSERT(&qcc->send_list, &qcs->el_send);
+	}
+	else {
+		if (!LIST_INLIST(&qcs->el_send))
+			LIST_APPEND(&qcs->qcc->send_list, &qcs->el_send);
+	}
 
 	TRACE_LEAVE(QMUX_EV_QCS_SEND, qcc->conn, qcs);
 }
@@ -2327,7 +2336,7 @@ static size_t qc_send_buf(struct stconn *sc, struct buffer *buf,
 		qcs->flags |= QC_SF_FIN_STREAM;
 
 	if (ret || fin) {
-		qcc_send_stream(qcs);
+		qcc_send_stream(qcs, 0);
 		if (!(qcs->qcc->wait_event.events & SUB_RETRY_SEND))
 			tasklet_wakeup(qcs->qcc->wait_event.tasklet);
 	}