diff --git a/libavutil/mem.c b/libavutil/mem.c
index 0729e1dd50..6149755a6b 100644
--- a/libavutil/mem.c
+++ b/libavutil/mem.c
@@ -466,7 +466,12 @@ void *av_fast_realloc(void *ptr, unsigned int *size, size_t min_size)
     if (min_size <= *size)
         return ptr;
 
-    min_size = FFMAX(min_size + min_size / 16 + 32, min_size);
+    if (min_size > max_alloc_size - 32) {
+        *size = 0;
+        return NULL;
+    }
+
+    min_size = FFMIN(max_alloc_size - 32, FFMAX(min_size + min_size / 16 + 32, min_size));
 
     ptr = av_realloc(ptr, min_size);
     /* we could set this to the unmodified min_size but this is safer