After a quick google search, it looks like what you do is replace the battery with an adapter that the drill battery can fit on. If you are inclined to perform minor surgery on your vacuum, this might be an option for you:

https://www.youtube.com/watch?v=vzYl34W-Q4o

https://www.amazon.com/Battery-Adapter-Cleaner-Absolute-Motorhead/dp/B09W2KX9NJ