When should my SO go on paternity leave?

Kelly

Im 36 weeks but my doctors can’t determine my due date. They said it could be May 19th all the way until June 1st and I’m extremely nervous about going into labor when my SO isn’t even close to where we live. He takes about 2 hours to get home and hes 3 hours from the hospital. When should he take off incase our daughter comes early?