Abstract: An adapter for suspending an air permeable sleeping surface from the top rails of a baby crib. The adapter has hooks engaging the rails, which hooks support a rectangular, permimetric frame. A flexible mesh fabric sleeping surface is removably attached to the frame. The hooks hold the sleeping surface well above and out of contact with the mattress of the crib, so that a child lying on his or her abdomen will not suffocate due to contact with the mattress, its cover, or a pillow. This situation could arise given the less yielding and more obstructing nature of a mattress and associated blankets and the like. In a preferred embodiment, the sleeping surface has reinforcing straps for opposing excessive deformation due to weight of the child.