Preemie night owl

Lorenzo

So our son is 2 weeks old. He was a month early and did 5 days in the NICU. At first it wasn’t too hard to get him to sleep at night. I know it’s still early but he stays awake even after his feed. I’ll feed him at 1am and he will stay awake till the next feed which is 3.5/4 hours later. Then he’ll slowly fall asleep around 6am-ish. He sleeps right after his feeds during the day. Is it too early for sleep training? Should we try and keep him more active during the day and more quiet at night?