In a 7-day-old baby, a sticky eye is most commonly due to Blocked tear duct, which is usually harmless and improves with gentle care, you can clean the eye with sterile cotton dipped in warm water and gently massage the inner corner of the eye (near the nose) 2?3 times daily. Keep the area clean and avoid using any drops unless prescribed. If there is redness, swelling, yellow pus, or fever, consult a pediatrician as it may need treatment.