On top of the OSB, we lay 3/8 plywood.
Our subfloor is now over 1 inch high. (This was not planned, the floor nailer didn't have shorter nails, so we ended up doing the floor twice)


The plywood is attached to the OSB with rust-proof screws

The entire subfloor is attached to the concrete with Tap-cons. We then seal all drill holes and seams with caulk.