diff --git a/doc/gpg.texi b/doc/gpg.texi
index c0632b39b..73a80a817 100644
--- a/doc/gpg.texi
+++ b/doc/gpg.texi
@@ -2468,7 +2468,8 @@ The same %-expandos used for notation data are available here as well.
 @opindex set-filename
 Use @code{string} as the filename which is stored inside messages.
 This overrides the default, which is to use the actual filename of the
-file being encrypted.
+file being encrypted.  Using the empty string for @var{string}
+effectively removes the filename from the output.
 
 @item --for-your-eyes-only
 @itemx --no-for-your-eyes-only