Can I avoid induction ans c section

I’m 37 weeks and looks like baby is gonna go over 40 weeks. Obviously nobody knows .. but let’s say baby does go over 40w. My doc is gonna wanna induce me, correct? Can I just ask my doctor to start doing membrane sweeps at my next apt 38w. ?? Will they do it? .. also baby is measuring big at 81 percentile so if I go over 40 weeks I’m afraid I will need a c section and I would really like to avoid one.

Any advice or opinions based on experience/knowledge are welcome . Thank you!