diff --git a/src/mux/muxread.c b/src/mux/muxread.c
index ddb0cd780..aa406c1a6 100644
--- a/src/mux/muxread.c
+++ b/src/mux/muxread.c
@@ -223,6 +223,8 @@ WebPMux* WebPMuxCreateInternal(const WebPData* bitstream, int copy_data,
   // Note this padding is historical and differs from demux.c which does not
   // pad the file size.
   riff_size = SizeWithPadding(riff_size);
+  // Make sure the whole RIFF header is available.
+  if (riff_size < RIFF_HEADER_SIZE) goto Err;
   if (riff_size > size) goto Err;
   // There's no point in reading past the end of the RIFF chunk. Note riff_size
   // includes CHUNK_HEADER_SIZE after SizeWithPadding().