Safer for Sleeping With a fully fitted elasticised edge to ensure a snug fit to the mattress so it won't move while your baby sleeps. Breath Baby, Breathe The jersey cotton fabric provides your baby with a secure, safe and breathable environment to sleep. These guidelines include: Always sleep baby on their back from birth, not on their tummy or side. Make sure there are no loose objects or extra linen on your baby's cot. Make sure your baby's mattress is firm and clean. Lay your baby on a flat and uninclined surface.