Inductions at 2cm+?

I’m due on Tuesday but haven’t had any labor symptoms yet, and had a sweep on Friday (with another scheduled for this Wednesday). I’ve had severe hip pain for the last week and a half that’s made it so I can’t walk and sleeping is agony. I’m really hoping baby girl decides to come on her own SOON but I’m not sure I can make it to 41w before scheduling an induction, not able to walk or sleep.

At my sweep my dr mentioned I’m a solid 2 cm, has anyone had a positive induction story starting out at 2-3 cm?

Thanks!!