diff --git a/libavformat/utils.c b/libavformat/utils.c
index 8c3b87c637..b8da0e8e9b 100644
--- a/libavformat/utils.c
+++ b/libavformat/utils.c
@@ -243,13 +243,16 @@ int av_format_get_probe_score(const AVFormatContext *s)
 int ffio_limit(AVIOContext *s, int size)
 {
     if (s->maxsize>= 0) {
-        int64_t remaining= s->maxsize - avio_tell(s);
+        int64_t pos = avio_tell(s);
+        int64_t remaining= s->maxsize - pos;
         if (remaining < size) {
             int64_t newsize = avio_size(s);
             if (!s->maxsize || s->maxsize<newsize)
                 s->maxsize = newsize - !newsize;
-            remaining= s->maxsize - avio_tell(s);
-            remaining= FFMAX(remaining, 0);
+            if (pos > s->maxsize && s->maxsize >= 0)
+                s->maxsize = AVERROR(EIO);
+            if (s->maxsize >= 0)
+                remaining = s->maxsize - pos;
         }
 
         if (s->maxsize>= 0 && remaining+1 < size) {