diff --git a/libavformat/rtsp.c b/libavformat/rtsp.c
index 91128e1309..5d1c5a99f2 100644
--- a/libavformat/rtsp.c
+++ b/libavformat/rtsp.c
@@ -964,6 +964,8 @@ static void rtsp_parse_transport(RTSPMessageHeader *reply, const char *p)
             p++;
 
         reply->nb_transports++;
+        if (reply->nb_transports >= RTSP_MAX_TRANSPORTS)
+            break;
     }
 }