diff --git a/libavformat/utils.c b/libavformat/utils.c
index dc7a17690d..c308f443cf 100644
--- a/libavformat/utils.c
+++ b/libavformat/utils.c
@@ -937,6 +937,7 @@ static void update_initial_timestamps(AVFormatContext *s, int stream_index,
     if (st->first_dts != AV_NOPTS_VALUE ||
         dts           == AV_NOPTS_VALUE ||
         st->cur_dts   == AV_NOPTS_VALUE ||
+        st->cur_dts < INT_MIN + RELATIVE_TS_BASE ||
         is_relative(dts))
         return;