diff --git a/src/ssl_sock.c b/src/ssl_sock.c
index a87d70b89..b5da625fd 100644
--- a/src/ssl_sock.c
+++ b/src/ssl_sock.c
@@ -2464,6 +2464,8 @@ int ssl_sock_switchctx_cbk(SSL *ssl, int *al, void *arg)
 		if (!quic_transport_params_store(conn->qc, 0, extension_data,
 		                                 extension_data + extension_len))
 			goto abort;
+
+		quic_mux_transport_params_update(conn->qc->qcc);
 	}
 #endif