diff --git a/CHANGELOG.md b/CHANGELOG.md
index 8afdb667..6d8f9e8f 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -5,7 +5,7 @@ CHANGELOG
 ------
 - Vim plugin
     - fzf no longer blocks the editor, so live previews keep working while fzf is open
-        - `fzf#run` now returns an empty list. Use `sink`, `sinklist`, or `exit` to get the result
+        - `fzf#run` returns an empty list when it runs fzf asynchronously. Use `sink`, `sinklist`, or `exit` to get the result
     - The popup layout now works under Zellij
     - Added `popup` as a synonym of the `tmux` layout key
       ```vim
diff --git a/plugin/fzf.vim b/plugin/fzf.vim
index b6ad85ba..59a540ef 100644
--- a/plugin/fzf.vim
+++ b/plugin/fzf.vim
@@ -273,10 +273,11 @@ function! s:tmux_enabled()
     return 0
   endif
 
-  " --tmux covers Zellij as well, where neither the fzf-tmux script nor the
-  " tmux version is relevant
+  " --tmux covers Zellij as well, where the fzf-tmux script and the tmux
+  " version are irrelevant, but the binary only learned it in 0.71.0
   if exists('$ZELLIJ')
-    return 1
+    return exists('s:exec')
+          \ && s:compare_versions(s:get_version(s:exec), '0.71.0') >= 0
   endif
 
   if !exists('$TMUX')