Any difference in 2 days between possible induction?

Hey everyone, for medical reasons I am being induced at 39 weeks if baby hasn't come by then. Just out of curiosity, is there really much of a difference that late in the game if I'm induced at 38 +5 versus 39 weeks? Just want to know if the "every day counts" rule applies that far into pregnancy. First time mom and not sure how that works!