I don't think there is a age restriction on oil massage for babies. My daughter is 7 years old and still loves it when I massage her limbs (especially her legs) with it. Days that she has PE lessons, she'll ask me to massage longer haha. I use Biolane's massage oil because I love the after smell and it doesn't leave a sticky residue like most massage oil.
I did baby massage for both of my children until they were about 1.5 years old. I really enjoy the bonding and skin-to-skin touch during the massage. If you have energy and time to do it, you may wish to do the baby massage until they are much older.
i massaged my baby till she was 2 years old. in fact, my sister used to massage her kid till 6 years of age. there is no such age till when you can massage, it always relaxes the baby and improves blood circulation.
thanks