diff --git a/libavutil/mem.h b/libavutil/mem.h
index b73b72435bef05ff1478d7aeb178da0acd6c29dc..77b7adc373f1ec1a308aa7df9969d723000522a2 100644
--- a/libavutil/mem.h
+++ b/libavutil/mem.h
@@ -92,7 +92,7 @@ void *av_malloc(size_t size) av_malloc_attrib av_alloc_size(1);
  */
 av_alloc_size(1, 2) static inline void *av_malloc_array(size_t nmemb, size_t size)
 {
-    if (size <= 0 || nmemb >= INT_MAX / size)
+    if (!size || nmemb >= INT_MAX / size)
         return NULL;
     return av_malloc(nmemb * size);
 }
@@ -227,7 +227,7 @@ void *av_calloc(size_t nmemb, size_t size) av_malloc_attrib;
  */
 av_alloc_size(1, 2) static inline void *av_mallocz_array(size_t nmemb, size_t size)
 {
-    if (size <= 0 || nmemb >= INT_MAX / size)
+    if (!size || nmemb >= INT_MAX / size)
         return NULL;
     return av_mallocz(nmemb * size);
 }