Massage shop oil?

I'm a bit shy, so I've never been able to go to a massage shop, but

You know how you experienced it for the first time in Vietnam not long ago?

I'm not really sure if it feels refreshing, but my skin felt so soft. So I've been diligently applying oil even after coming home, but while the scent is the same, that softness is missing.

I'm wondering if I need to apply it more thickly, or if there is a special oil used at salons.