Yes, the baby can surely sleep on the playmat as long as you take all the precautionary measures to create a safe slumber environment. Most of the playmats come with easily removable arches that carry toys over the head of the baby. Pick one such easily removable item and if the baby sleeps while playing on the mat, remove the toys above him to avoid any mishap. Besides, these mats are soft and comfortable and can offer a sound sleep experience to your little ones.