diff --git a/src/h3.c b/src/h3.c
index 7fb5f9489..c1a997938 100644
--- a/src/h3.c
+++ b/src/h3.c
@@ -1121,6 +1121,15 @@ static int h3_init(struct qcc *qcc)
 static void h3_release(void *ctx)
 {
 	struct h3c *h3c = ctx;
+
+	/* RFC 9114 5.2. Connection Shutdown
+	 *
+	 * An endpoint that completes a
+	 * graceful shutdown SHOULD use the H3_NO_ERROR error code when closing
+	 * the connection.
+	 */
+	qcc_emit_cc_app(h3c->qcc, H3_NO_ERROR, 0);
+
 	pool_free(pool_head_h3c, h3c);
 }
 
diff --git a/src/mux_quic.c b/src/mux_quic.c
index 658a97437..5a0d9879e 100644
--- a/src/mux_quic.c
+++ b/src/mux_quic.c
@@ -1024,8 +1024,15 @@ static void qc_release(struct qcc *qcc)
 
 	TRACE_ENTER(QMUX_EV_QCC_END);
 
-	if (qcc->app_ops && qcc->app_ops->release)
+	if (qcc->app_ops && qcc->app_ops->release) {
+		/* Application protocol with dedicated connection closing
+		 * procedure.
+		 */
 		qcc->app_ops->release(qcc->ctx);
+	}
+	else {
+		qcc_emit_cc_app(qcc, QC_ERR_NO_ERROR, 0);
+	}
 
 	if (qcc->task) {
 		task_destroy(qcc->task);