diff --git a/libavformat/utils.c b/libavformat/utils.c
index 7248f91b86..517b8525d9 100644
--- a/libavformat/utils.c
+++ b/libavformat/utils.c
@@ -274,7 +274,7 @@ int ffio_limit(AVIOContext *s, int size)
         if(remaining < size){
             int64_t newsize= avio_size(s);
             if(!s->maxsize || s->maxsize<newsize)
-                s->maxsize= newsize;
+                s->maxsize= newsize - !newsize;
             remaining= s->maxsize - avio_tell(s);
             remaining= FFMAX(remaining, 0);
         }