Is it ok for depo (birth control shot) to be in my system at time of surgery? Thank you.

I was told by my PS to not take birth control 2 weeks prior to lipo + bbl. My GYN thinks my PS only means pills because they have a way higher risk for blood clots (and something about estrogen levels) than the depo which I am currently on. If I get my next scheduled depo shot it will still be in my system at time of surgery. Should I not take the depo and start a pill regimen up to 3 weeks before surgery or is it ok for the depo to be in my system at time of surgery? Thank you.