No. Always put baby to sleep on his or her back. The back position reduces the risk of SIDS. SIDS deaths have decreased nearly 50% since the American Academy of Pediatricians 1992 recommendation that babies be placed on their backs to sleep. Tummy time is for when baby is awake. Always put a swaddled baby on his or her back for sleep. Baby should sleep on a firm flat sleep surface, in a bassinet, cradle or crib near the mother’s bed without any soft toys, pillows or loose bedding.