diff --git a/bash_completion b/bash_completion
index e7081afb..5c077846 100644
--- a/bash_completion
+++ b/bash_completion
@@ -1122,7 +1122,8 @@ _services()
     _sysvdirs
 
     local restore_nullglob=$(shopt -p nullglob); shopt -s nullglob
-    COMPREPLY=( $( printf '%s\n' ${sysvdirs[0]}/!($_backup_glob|functions) ) )
+    COMPREPLY=( \
+        $( printf '%s\n' ${sysvdirs[0]}/!($_backup_glob|functions|README) ) )
     $restore_nullglob
 
     COMPREPLY+=( $( systemctl list-units --full --all 2>/dev/null | \