How long after your baby dropped (if it did) did you go into labor?

My baby dropped 2 days ago (Monday), apparently super low and running out of space to grow and I’m just slightly worried since none of the doctors I’ve seen will be available this weekend and I’d have to go to a completely different (and significantly farther) hospital. So I’m just wondering how long it usually takes from the baby dropping to going into labor and if I have to worry about it happening this weekend.