You may think that because you enjoy sleeping with a pillow, your baby will too. But there is a suffocation hazard to giving them a pillow, and it’s actually not very naturally for them to have their head held up like that while they sleep. Babies can roll around a lot when they sleep, and if the pillow ends up on top of their head, they may not have the motor skills to knock it off. That’s why it’s best to leave things empty in their crib.