I have a different way of looking at it from my experience.
DD1 (she was 41wks) my waters broke at 4am, by the time I got to hospital at 7am they were stained and I was not contracting really. Had to have the drip. DD arrived 12.5 hours after my water were broken. I was pretty dry down there by that stage and I tore really bad on the inside.
DD2 (she was 41+2wks) Contractions started around 4am, I laboured all day easily went into hospital at 1:30am monitered, internal, told 10cm with waters bulging. Walked to delivery room, waters break themselves and a few minutes later DD2 was born. Very easy, no tears or grazes.

I know next time I will be hoping for that again. Having my waters break just before DD2 arrived made a big difference. I would be just waiting and seeing how you go and hope that this is something you wont even have to worry about. Good luck.