diff --git a/src/http.c b/src/http.c
index ee17bce1..bc2cfd09 100644
--- a/src/http.c
+++ b/src/http.c
@@ -2817,7 +2817,7 @@ read_header:
     }
 
   if (statcode == HTTP_STATUS_RANGE_NOT_SATISFIABLE
-      || (!opt.timestamping && statcode == HTTP_STATUS_OK
+      || (!opt.timestamping && hs->restval > 0 && statcode == HTTP_STATUS_OK
           && contrange == 0 && contlen >= 0 && hs->restval >= contlen))
     {
       /* If `-c' is in use and the file has been fully downloaded (or