diff --git a/TOOLS/zsh.pl b/TOOLS/zsh.pl
index 6bd2a02d42..5934bd1b4e 100755
--- a/TOOLS/zsh.pl
+++ b/TOOLS/zsh.pl
@@ -69,11 +69,17 @@ chomp $profile_comp;
 my $tmpl = <<"EOS";
 #compdef mpv
 
-# mpv zsh completion
+# For customization, see:
+#  https://github.com/mpv-player/mpv/wiki/Zsh-completion-customization
 
 local curcontext="\$curcontext" state state_descr line
 typeset -A opt_args
 
+# By default, don't complete URLs unless no files match
+local -a tag_order
+zstyle -a ":completion:*:*:$service:*" tag-order tag_order || \
+  zstyle  ":completion:*:*:$service:*" tag-order '!urls'
+
 local rc=1
 
 _arguments -C -S \\