diff --git a/src/nvim/testdir/test_ins_complete.vim b/src/nvim/testdir/test_ins_complete.vim
index 0810bd4adc..f706322a85 100644
--- a/src/nvim/testdir/test_ins_complete.vim
+++ b/src/nvim/testdir/test_ins_complete.vim
@@ -704,8 +704,8 @@ endfunc
 
 " Test for using complete() with completeopt+=longest
 func Test_complete_with_longest()
-  inoremap <f3> <cmd>call complete(1, ["iaax", "iaay", "iaaz"])<cr>
   new
+  inoremap <buffer> <f3> <cmd>call complete(1, ["iaax", "iaay", "iaaz"])<cr>
 
   " default: insert first match
   set completeopt&
@@ -719,6 +719,7 @@ func Test_complete_with_longest()
   exe "normal Aa\<f3>\<esc>"
   call assert_equal('iaa', getline(1))
   set completeopt&
+  bwipe!
 endfunc
 
 
@@ -1276,7 +1277,7 @@ endfunc
 " A mapping is not used for the key after CTRL-X.
 func Test_no_mapping_for_ctrl_x_key()
   new
-  inoremap <C-K> <Cmd>let was_mapped = 'yes'<CR>
+  inoremap <buffer> <C-K> <Cmd>let was_mapped = 'yes'<CR>
   setlocal dictionary=README.txt
   call feedkeys("aexam\<C-X>\<C-K> ", 'xt')
   call assert_equal('example ', getline(1))