If labor does not start right away when you are already in your 37th week of pregnancy, you have the option to bring on labor and accelerate things a bit.
You have to understand that you will deliver when your baby is ready, but there are signs that tell you that you are ready to deliver. Also, there are ways that bring on or induce labor and delivery, especially if it stops progressing.
Once you notice and experience the initial signs of labor, you can speak with your health care provider and ask for your options when it comes to speeding things up. Your doctor can advise you the best, the safest and the most effective methods for inducing labor and delivery.