Not sure, but if they don't you can always take towels from the bathroom, roll them up and put them under the fitted sheet to make a 'baby barrier'. Or what I had to do for a night... (so glad babies have no memory of this time in their lives...) I took a drawer out of a dresser, put a towel on the bottom and DS slept in the drawer... LOL...no, he really did... guess it depends on how big your baby is...