Could my baby born addicted?

I'm not on real drugs or anything. I've had a really hard time with this pregnancy due to having 3 herniated discs in my lower back. Before getting pregnant I was on percocet. As soon as I found out I was pregnant.(4weeks) I quit taking them. I didn't want to hurt my baby. I'm now 35 weeks. Ive been in pain my entire pregnancy so the Dr said it was ok to take tylenol. I take 2 on a normal day, 4 if its a bad day. I was wondering if there is any way that my baby could come out addicted and have withdrawls?