diff --git a/libavformat/utils.c b/libavformat/utils.c
index d1e0f7139d..496b656378 100644
--- a/libavformat/utils.c
+++ b/libavformat/utils.c
@@ -4098,6 +4098,7 @@ int avformat_network_deinit(void)
 #if CONFIG_NETWORK
     ff_network_close();
     ff_tls_deinit();
+    ff_network_inited_globally = 0;
 #endif
     return 0;
 }