38 weeks labor?!

My doctor told me I am 2cm and my cervix is very thin and I believe that my baby already dropped just because it kinda looks like it did. I really hope this week is the week for me! I'm 37 weeks but on Thursday I will be 38 and I really want to ask my doctor is maybe I can have the baby this weekend. With my last pregnancy I had my daughter at 38 weeks by Inducing.. This time I'm in extremely bad pain, my hips hurt more than anything. I have a two year old daughter who I can't keep up with because I can barely walk. Any chance he will allow me to have the baby this weekend?