I also doubt it will matter much. There are more guys on this website who are overweight and just fine on T. Your doctor knows best, though.
That being said, for the rest of the transition it may be better to lose some pounds. I don't know if you plan on getting any kind of surgery, but if you do, then preparing for that by losing weight would be best. Being overweight does increase the risk of complications after all. And to top it off, on the website of the hospital where I will be getting chest surgery is clearly stated that the best results are had when you are skinny. Don't get me wrong, being overweight doesn't mean your results will be bad. The contrary, as a lot of guys have shown on this forum. But it is stated on the website for a reason, so something to keep in mind, next to the health benefits of being slimmer. Good luck!