4Runner SE with GX470 17s TPMS Question

[SciRunner]

Is the stock 2006 GX470 TPMS compatible with the Gen 4 4Runner Sport Edition TPMS?

I'm thinking of swapping my Sport Edition 17s with the factory GX 470 17s rims, powder coat it, and add BFG A/T tires. I'm keeping the SE rims for the spring, summer, and fall.

Thanks for your help.