Newborn and family dog?

I'm having a natural birth which means I will be home with the baby a few hours after giving birth (assuming all goes well). We have a very well trained border collie 2-3 years old who is not allowed in the baby room at all and is very good about not jumping on me. However, we obviously don't want him mixing with the newborn too much and I will need to recover. We originally were going to have the dog stay at my parents' house who have acreage etc and then bring him home after a week but now I'm concerned that he will be fearful of the baby or jealous if he has to go away because of her. This breed is known for separation anxiety and has never been away from us for more than 3 days so I feel a week away from us will hurt his feelings and possibly bring out aggression toward the baby. Anyone with training experience in this situation?