diff --git a/contrib/pg_upgrade/dump.c b/contrib/pg_upgrade/dump.c
index 7a0e3421486..cc253ebf3dd 100644
--- a/contrib/pg_upgrade/dump.c
+++ b/contrib/pg_upgrade/dump.c
@@ -18,7 +18,6 @@ void
 generate_old_dump(void)
 {
 	int			dbnum;
-	mode_t		old_umask;
 
 	prep_status("Creating dump of global objects");
 
@@ -33,13 +32,6 @@ generate_old_dump(void)
 
 	prep_status("Creating dump of database schemas\n");
 
-	/*
-	 * Set umask for this function, all functions it calls, and all
-	 * subprocesses/threads it creates.  We can't use fopen_priv()
-	 * as Windows uses threads and umask is process-global.
-	 */
-	old_umask = umask(S_IRWXG | S_IRWXO);
-
 	/* create per-db dump files */
 	for (dbnum = 0; dbnum < old_cluster.dbarr.ndbs; dbnum++)
 	{
@@ -74,8 +66,6 @@ generate_old_dump(void)
 	while (reap_child(true) == true)
 		;
 
-	umask(old_umask);
-
 	end_progress_output();
 	check_ok();
 }
diff --git a/contrib/pg_upgrade/file.c b/contrib/pg_upgrade/file.c
index 4f0f1ae4a8f..2a4f50d9b4e 100644
--- a/contrib/pg_upgrade/file.c
+++ b/contrib/pg_upgrade/file.c
@@ -239,17 +239,3 @@ win32_pghardlink(const char *src, const char *dst)
 		return 0;
 }
 #endif
-
-
-/* fopen() file with no group/other permissions */
-FILE *
-fopen_priv(const char *path, const char *mode)
-{
-	mode_t		old_umask = umask(S_IRWXG | S_IRWXO);
-	FILE	   *fp;
-
-	fp = fopen(path, mode);
-	umask(old_umask);
-
-	return fp;
-}
diff --git a/contrib/pg_upgrade/pg_upgrade.c b/contrib/pg_upgrade/pg_upgrade.c
index 96221240a74..24d9d51e54d 100644
--- a/contrib/pg_upgrade/pg_upgrade.c
+++ b/contrib/pg_upgrade/pg_upgrade.c
@@ -83,6 +83,9 @@ main(int argc, char **argv)
 	char	   *deletion_script_file_name = NULL;
 	bool		live_check = false;
 
+	/* Ensure that all files created by pg_upgrade are non-world-readable */
+	umask(S_IRWXG | S_IRWXO);
+
 	parseCommandLine(argc, argv);
 
 	get_restricted_token(os_info.progname);
diff --git a/contrib/pg_upgrade/pg_upgrade.h b/contrib/pg_upgrade/pg_upgrade.h
index aec1f54b15d..52a68e7081b 100644
--- a/contrib/pg_upgrade/pg_upgrade.h
+++ b/contrib/pg_upgrade/pg_upgrade.h
@@ -385,7 +385,9 @@ const char *linkAndUpdateFile(pageCnvCtx *pageConverter, const char *src,
 				  const char *dst);
 
 void		check_hard_link(void);
-FILE	   *fopen_priv(const char *path, const char *mode);
+
+/* fopen_priv() is no longer different from fopen() */
+#define fopen_priv(path, mode)	fopen(path, mode)
 
 /* function.c */