This conversation should never have to happen -- If you sincerely want to move within an organization, you should already have documented your current role sufficiently for someone new to take it over, and ideally mentored a replacement for yourself. Then you are prepared for any move available to you.

As a general rule, once you get beyond the initial junior -> mid -> senior level early career hops.... promotions are not given because you did your job well. They are given when you lift up your peers or direct reports to be able to to do your job well.