Hi Shooboy,
I expect you could set it up with an overall length that would allow it to headspace on the bullet against the rifling. It should work if you have room in the magazines for the extra legnth.
If you were just wanting to use it and not invest in brass/dies etc. I'd try it.
I would do it if it were mine.
You will have to start low on load and work up.
I am doing about the same thing with a 9x19 bbl. that had the chamber reamed too deep. I set my overall length to where the back of the case is flush with the barrel hood when the bullet engages the rifling.
It shoots great and works well and should not be too much different than what you have.
This is all in the assumption that you are a handloader?
Hope this helps
Mike