How to swaddle your baby. A few more swaddling tips from barefootinthekitchen.blogspot.co.uk: 1. Don't let the blanket touch the baby's cheek. That can set off the rooting reflex. Keep the top of the blanket like a V-neck sweater on the baby's chest. 2. Use a lightweight blanket so the baby doesn't get too warm. 3. If going outside when cold, lay blankets over the swaddle.