19 month old and pillows

I co sleep/bed share with my 19 month old son and he’s been waking up lately to put his head on my pillow. Well the pillow is only big enough for one of us so he ends up taking it over. We have another one on the bed but it’s to put against the wall so he’s not accidentally hitting his head (he’s moves a lot in his sleep as did I when I was a kid). My question is, would it be okay to get him his own pillow to use? When did your kiddos start using one?