On T3 but need a TSH test...

I'm currently taking T3 125 mcg OD and Albuterol 4 mg TID. My doc wants me to have a TSH test as part of my current TRT checkup. Will the TSH be abnormal as a result of me taking T3, or should it be fine since TSH is a stimulating hormone and I already have plenty of T3 circulating?

I'll just get the bloodwork done and when it comes back with a low TSH I'll just make up a story about being on a homeopathic thyroid supplement to help with my dieting....