Pets Sensing Labor

I've heard that animals can sense when you are near labor. Over the past two weeks, I have lost my plug and the baby has dropped. Today my dog will not leave me alone. He followed me from the couch, to the chair across the room, and back in a 15 minute period. He didn't try to get petted or anything. He just followed and layed at my feet. He knows he's not allowed in the kitchen, but when I went through it to go to the nursery he followed me and layed right outside my baby girl's door. Is it possible he can sense something? I seriously can't even pee today without him laying at my feet and that is really unusual for him.