It is working out that way for me right now actually by pure coincidence - I didn't even tell my dr about it, but he did not tell me I needed to wait until the timing was right or anything of that sort.
I asked almost this same question a few days ago on this board, and someone else on here told me they also started during the TOM, and it was actually their last one right off the bat. So, here's hoping that starting in the middle of it is some kind of special magic for getting rid of it right at the beginning. Maybe your Dr has seen some kind of trend?
I dunno what kind of T you are taking either (injection vs cream etc), but he may have his reasons for wanting you to wait. Why not call and ask?