diff --git a/src/testdir/test_ins_complete.vim b/src/testdir/test_ins_complete.vim
index 005e14c..8c676e2 100644
--- a/src/testdir/test_ins_complete.vim
+++ b/src/testdir/test_ins_complete.vim
@@ -346,7 +346,10 @@
   set wildmenu wildchar=<Tab>
   com! -nargs=1 -complete=command GetInput let input = <q-args>
   com! -buffer TestCommand echo 'TestCommand'
+  let w:test_winvar = 'winvar'
+  let b:test_bufvar = 'bufvar'
 
+  " User-defined commands
   let input = ''
   call feedkeys("q:iGetInput T\<C-x>\<C-v>\<CR>", 'tx!')
   call assert_equal('TestCommand', input)
@@ -355,8 +358,30 @@
   call feedkeys("q::GetInput T\<Tab>\<CR>:q\<CR>", 'tx!')
   call assert_equal('T', input)
 
+
+  com! -nargs=1 -complete=var GetInput let input = <q-args>
+  " Window-local variables
+  let input = ''
+  call feedkeys("q:iGetInput w:test_\<C-x>\<C-v>\<CR>", 'tx!')
+  call assert_equal('w:test_winvar', input)
+
+  let input = ''
+  call feedkeys("q::GetInput w:test_\<Tab>\<CR>:q\<CR>", 'tx!')
+  call assert_equal('w:test_', input)
+
+  " Buffer-local variables
+  let input = ''
+  call feedkeys("q:iGetInput b:test_\<C-x>\<C-v>\<CR>", 'tx!')
+  call assert_equal('b:test_bufvar', input)
+
+  let input = ''
+  call feedkeys("q::GetInput b:test_\<Tab>\<CR>:q\<CR>", 'tx!')
+  call assert_equal('b:test_', input)
+
   delcom TestCommand
   delcom GetInput
+  unlet w:test_winvar
+  unlet b:test_bufvar
   set wildmenu& wildchar&
 endfunc