The present invention relates to a volatile oily composition comprising and preferably consisting of from 50 to 100% by weight of a mixture of paraffins and from 0 to 50% by weight of at least one non-volatile oil. It also relates to the cosmetic compositions containing the abovementioned oily composition and the cosmetic uses of said cosmetic compositions particularly for making up and/or caring for and/or protecting skin lips eyelashes and/or nails and in antiperspirant / deodorant compositions.
