diff --git a/share/completions/time.fish b/share/completions/time.fish
index fa4bba835..77891f435 100644
--- a/share/completions/time.fish
+++ b/share/completions/time.fish
@@ -1,3 +1,7 @@
+if not command -q time
+    complete -c time -a "(__fish_complete_subcommand)" -d "Command"
+    exit
+end
 
 complete -c time -a "(__fish_complete_subcommand -- -o --output -f --format)" -d "Command"