Index: Python/fileutils.c
--- Python/fileutils.c.orig
+++ Python/fileutils.c
@@ -2599,9 +2599,9 @@ done:
  *    non-opened fd in the middle.
  * 2b. If fdwalk(3) isn't available, just do a plain close(2) loop.
  */
-#ifdef __FreeBSD__
+#if defined(__FreeBSD__) || defined(__OpenBSD__)
 #  define USE_CLOSEFROM
-#endif /* __FreeBSD__ */
+#endif /* __FreeBSD__ || __OpenBSD__ */
 
 #ifdef HAVE_FDWALK
 #  define USE_FDWALK