When my doctor first prescribed T for me, she went over the possibility of needing to induce one of those (and I made it clear that it was only ever going to happen if something went wrong), but she hasn't brought it up in the few years since then.
Someone with more medical knowledge than I would have a better grasp of how the cycles work, I'm sure, but if I'm not mistaken, the lining builds up in response to an increase in levels of estrogen. If that part of the cycle still functions in your body, but you're not receiving the spike in progesterone to shed it, then maybe there would be problems. I don't know. But if your estrogen levels are stable in a lower, roughly male range, then as far as I know, there would be no build up of the lining to be shed and the progesterone would do nothing but cause cramping, spotting, and dysphoria.