This is the traditional way of draping for Lomi Lomi massage. As you can see, most of the clients skin is exposed.  A small towel is used to cover the genitals and a towel to cover the breasts. The reason most of the skin is exposed, is too allow the therapist to slide her hands and arms under and around the clients body without towels disrupting the flow of the massage. When the client is laying on her front, a small towel will then cover the buttocks to at least ensure the genitals are covered. You can choose to wear a disposable thong, if you feel uncomfortable with just a towel covering. 
You can choose to have no breast covering, as in traditional Lomi Lomi, no breast covering is used. While the breasts are not massaged, the sternum (between the breasts) is massaged along with the entire side of the body. 
If the you feel comfortable, then you can also go fully nude, without no covering. This option allows you too feel freedom. Eventhough no covering is used, the genitals are not massaged. 

Please inform the therapist which draping you would like when making your booking, Thankyou.