Advice needed!!

Hi everyone!! So I need some advice, I am 39 weeks pregnant today, my due date is Wednesday. I have been diagnosed with gestational diabetes and it has been controlled with diet. Even though my blood sugars have been good the baby has been measuring large for a couple months now. I really don’t want to go past my due date and I have an appointment today. Is there anyway to convince the doctor to induce me if I don’t have the baby by next Wednesday? I’ve also read a lot about mom with gestational diabetes being induced early to reduce risk of stillbirth but none of my doctors have mentioned this. Also all of my family lives in California and it would be nice to have a date to give them. I know induction is never ideal but at this point I’m more worried if I’m not. Thank you for reading and for all of the advice!