A stroller with full recline allows a baby to safely sleep as long as there aren’t blankets, toys, or other items in the stroller that could pose a suffocation hazard. Older children may wake up during the night, but sleeping in the stroller won’t hurt them. Many parents walk to put their babies to sleep, and there’s nothing wrong with letting your baby stay there as long as the seat reclines to a safe angle for the baby’s age.