diff --git a/include/haproxy/quic_conn.h b/include/haproxy/quic_conn.h
index 8b7a43a5f..8342c9baf 100644
--- a/include/haproxy/quic_conn.h
+++ b/include/haproxy/quic_conn.h
@@ -725,5 +725,19 @@ void qc_kill_conn(struct quic_conn *qc);
 int quic_dgram_parse(struct quic_dgram *dgram, struct quic_conn *qc,
                      struct listener *li);
 
+/* Wake up every QUIC connections on closing/draining state if process stopping
+ * is active. They will be immediately released so this ensures haproxy process
+ * stopping is not delayed by them.
+ */
+static inline void quic_handle_stopping(void)
+{
+	struct quic_conn *qc;
+
+	if (stopping) {
+		list_for_each_entry(qc, &th_ctx->quic_conns_clo, el_th_ctx)
+			task_wakeup(qc->idle_timer_task, TASK_WOKEN_OTHER);
+	}
+}
+
 #endif /* USE_QUIC */
 #endif /* _HAPROXY_QUIC_CONN_H */
diff --git a/src/haproxy.c b/src/haproxy.c
index eb490804a..19463f29e 100644
--- a/src/haproxy.c
+++ b/src/haproxy.c
@@ -115,7 +115,7 @@
 #include <haproxy/namespace.h>
 #include <haproxy/net_helper.h>
 #include <haproxy/openssl-compat.h>
-#include <haproxy/quic_conn-t.h>
+#include <haproxy/quic_conn.h>
 #include <haproxy/quic_tp-t.h>
 #include <haproxy/pattern.h>
 #include <haproxy/peers.h>
@@ -2971,9 +2971,12 @@ void run_poll_loop()
 			int i;
 
 			if (stopping) {
-				/* stop muxes before acknowledging stopping */
+				/* stop muxes/quic-conns before acknowledging stopping */
 				if (!(tg_ctx->stopping_threads & ti->ltid_bit)) {
 					task_wakeup(mux_stopping_data[tid].task, TASK_WOKEN_OTHER);
+#ifdef USE_QUIC
+					quic_handle_stopping();
+#endif
 					wake = 1;
 				}