early labour

I think I'm gonna in labour soon, even though currently only 35w+2. I'm still hoping the baby will come out at least 37 weeks, but my mucus plug has come out. My gynae don't want my baby to come out too soon, so she gave me jab and hormones, tell me to rest, but the brown mucus still coming out. How many days after your mucus plug comes out until your delivery?