The best time for infant circumcision is when your baby is between 24 and 72 hours old. (Doctors don’t recommend circumcision before that in case your child has an underlying medical condition.) It’s best to book your child’s circumcision as soon as the attending pediatrician or family doctor gives you the okay.he best time for infant circumcision is when your baby is between 24 and 72 hours old. (Doctors don’t recommend circumcision before that in case your child has an underlying medical condition.) It’s best to book your child’s circumcision as soon as the attending pediatrician or family doctor gives you the okay.