diff --git a/src/mux_h2.c b/src/mux_h2.c
index ab8504e..273bb92 100644
--- a/src/mux_h2.c
+++ b/src/mux_h2.c
@@ -3233,7 +3233,7 @@
 		ret |= h2_do_shutr(h2s);
 
 	/* We're no longer trying to send anything, let's destroy the h2s */
-	if (!ret) {
+	if (!ret && (h2s->cs == NULL)) {
 		struct h2c *h2c = h2s->h2c;
 		h2s_destroy(h2s);