diff --git a/libavformat/rtsp.c b/libavformat/rtsp.c
index 6310d79c28..1abb4715ab 100644
--- a/libavformat/rtsp.c
+++ b/libavformat/rtsp.c
@@ -821,6 +821,8 @@ static void rtsp_parse_transport(RTSPMessageHeader *reply, const char *p)
             p++;
 
         reply->nb_transports++;
+        if (reply->nb_transports >= RTSP_MAX_TRANSPORTS)
+            break;
     }
 }