diff --git a/src/testdir/dumps/Test_winbar_not_visible.dump b/src/testdir/dumps/Test_winbar_not_visible.dump
new file mode 100644
index 0000000..894ac21
--- /dev/null
+++ b/src/testdir/dumps/Test_winbar_not_visible.dump
@@ -0,0 +1,10 @@
+|[+1&#ffffff0|N|o| |N|a|m|e|]| @47|0|,|0|-|1| @9|A|l@1
+> +0&&@74
+|~+0#4040ff13&| @73
+|~| @73
+|~| @73
+|~| @73
+|~| @73
+|~| @73
+|[+3#0000000&|N|o| |N|a|m|e|]| @47|0|,|0|-|1| @9|A|l@1
+| +0&&@74
diff --git a/src/testdir/test_winbar.vim b/src/testdir/test_winbar.vim
index 3412ce5..2cbdd01 100644
--- a/src/testdir/test_winbar.vim
+++ b/src/testdir/test_winbar.vim
@@ -4,6 +4,7 @@
 CheckFeature menu
 
 source shared.vim
+source screendump.vim
 
 func Test_add_remove_menu()
   new
@@ -121,4 +122,23 @@
   bwipe!
 endfunc
 
+func Test_winbar_not_visible()
+  CheckScreendump
+
+  let lines =<< trim END
+      split
+      nnoremenu WinBar.Test :test
+      set winminheight=0
+      wincmd j
+      wincmd _
+  END
+  call writefile(lines, 'XtestWinbarNotVisble')
+  let buf = RunVimInTerminal('-S XtestWinbarNotVisble', #{rows: 10})
+  call VerifyScreenDump(buf, 'Test_winbar_not_visible', {})
+
+  " clean up
+  call StopVimInTerminal(buf)
+  call delete('XtestWinbarNotVisble')
+endfunction
+
 " vim: shiftwidth=2 sts=2 expandtab