We were just getting ready to pull out our old kitchen flooring for a kitchen remodel, and we discovered what looks like asbestos tile underneath the current linoleum.

We are looking at all the options of removing it ourselves, paying someone to remove it, but I am also wondering if we can tile over the existing linoleum? I would never want to do this otherwise, but in this case, I'm wondering if it's our best option.

The top layer of linoleum is not in perfect condition, and it stops at the cabinets, which we plan on removing and tiling under. Under the 2 layers of linoleum are 2 layers of wood subfloor. Would we tile right on top of the lineolum, or put a 1/4" cement board on top then tile?