L.W.
If you have an infant carrier for a car seat and he likes it put him in it inside his crib bundled up. That is the only way my daughter would sleep until she was about 5 months old. I started weaning her of sleeping in it only because I knew at 6 months she would be too big for it.
Do not worry about him only being 5 weeks old and sleeping on you. You can not spoil him at this young age. Now when he is about 6 months old yes you can.
Enjoy him while you can they grow up so fast.