Yes I do give my boy massage, esp when he was btw a few days to 4 months old, before he knows how to turn over. It was the best time to massage.
After he becomes more mobile, it's a bit challenging.
As I'm a massage instructor, I applied my knowledge in massaging him so I didn't send him anywhere.
Massaging your babies is a great bonding experience btw mom & baby or dad & baby. It calms them, promotes better sleep, relieves colic and make them feel loved & secured.