How long after loosing mucus plug did you go into labor?

I had a stretch and sweep done yesterday. Doctor said I was hardly dilated but my cervix was very soft.

I just lost my mucus plug this morning. Does this mean labor is close? (I have been cramping up on and off) or does this mean the cervix is slowly starting to open? Or both?

I’m at first time mum and 39weeks and 3 days.