RicodJour:

If the floor joists are attached to the rim joist you have a much
bigger problem with a brick veneer building. It would involve poking
holes in the brick above the work area, supporting the brick above the
work area with inclined jacks and/or steel clips bolted to the
framing, then removing all of the brick in front of the rim joist and
going to work.

It's the latter, thanks.