At two months, your baby's brain is undergoing a significant transformation. Social smiling appears — a real, intentional smile in response to your face, not just a reflex. They're beginning to coo and vocalize, tracking objects smoothly across their visual field, and showing a clear preference for faces and high-contrast patterns.
These cognitive advances directly impact sleep. More alertness during the day means more stimulation to process, and all that processing happens during sleep. You may notice that after a particularly stimulating morning (visitors, a new environment, lots of interaction), your baby sleeps harder — or has more difficulty settling because they're overstimulated.
The startle reflex is still present but starting to fade. Swaddling continues to help, but your baby is getting stronger and may break free more easily. This is also when some babies begin showing the earliest signs of rolling — pushing up during tummy time, arching their back, turning to one side. If you see any of these, start planning the swaddle transition. The AAP recommends stopping swaddling at the first signs of rolling.