diff --git a/src/testdir/test_popupwin.vim b/src/testdir/test_popupwin.vim
index e84527b..2e2d1df 100644
--- a/src/testdir/test_popupwin.vim
+++ b/src/testdir/test_popupwin.vim
@@ -2498,6 +2498,41 @@
 	let id = popup_findinfo()
 	eval id->popup_setoptions(#{highlight: 'InfoPopup'})
       endfunc
+
+      func InfoHidden()
+	set completepopup=height:4,border:off,align:menu
+	set completeopt-=popup completeopt+=popuphidden
+	au CompleteChanged * call HandleChange()
+      endfunc
+
+      let s:counter = 0
+      func HandleChange()
+	let s:counter += 1
+	let selected = complete_info(['selected']).selected
+	if selected <= 0
+	  " First time: do nothing, info remains hidden
+	  return
+	endif
+	if selected == 1
+	  " Second time: show info right away
+	  let id = popup_findinfo()
+	  if id
+	    call popup_settext(id, 'immediate info ' .. s:counter)
+	    call popup_show(id)
+	  endif
+	else
+	  " Third time: show info after a short delay
+	  call timer_start(100, 'ShowInfo')
+	endif
+      endfunc
+
+      func ShowInfo(...)
+	let id = popup_findinfo()
+	if id
+	  call popup_settext(id, 'async info ' .. s:counter)
+	  call popup_show(id)
+	endif
+      endfunc
   END
   return lines
 endfunc
@@ -2580,6 +2615,30 @@
   call delete('XtestInfoPopupNb')
 endfunc
 
+func Test_popupmenu_info_hidden()
+  CheckScreendump
+
+  let lines = Get_popupmenu_lines()
+  call add(lines, 'call InfoHidden()')
+  call writefile(lines, 'XtestInfoPopupHidden')
+
+  let buf = RunVimInTerminal('-S XtestInfoPopupHidden', #{rows: 14})
+  call term_wait(buf, 50)
+
+  call term_sendkeys(buf, "A\<C-X>\<C-U>")
+  call VerifyScreenDump(buf, 'Test_popupwin_infopopup_hidden_1', {})
+
+  call term_sendkeys(buf, "\<C-N>")
+  call VerifyScreenDump(buf, 'Test_popupwin_infopopup_hidden_2', {})
+
+  call term_sendkeys(buf, "\<C-N>")
+  call VerifyScreenDump(buf, 'Test_popupwin_infopopup_hidden_3', {})
+
+  call term_sendkeys(buf, "\<Esc>")
+  call StopVimInTerminal(buf)
+  call delete('XtestInfoPopupHidden')
+endfunc
+
 func Test_popupwin_recycle_bnr()
   let bufnr = popup_notification('nothing wrong', {})->winbufnr()
   call popup_clear()