Is 13 months to soon to use a pillow? I normally co sleep with my son but I am trying to move him to his crib. When did you start using a pillow with your child?
I started putting one in with my son as soon as he went in his crib which was at around 9 months and he was fine as long as your son can lift up his head and roll over it should be ok
My son started using one around a year old. So your son should be fine! :) maybe don't put a pillow case on it? I don't put one on my sons pillow still, and he's almost two.