Hi,
Infants do not need a pillows. In fact, pillows and having many things in the cot can cause SIDS.
Here are some articles that might interest you:
https://www.healthhub.sg/live-healthy/1195/baby-time-to-unwind
https://www.google.com.sg/amp/s/sg.theasianparent.com/when-can-a-baby-sleep-with-a-pillow/amp