The present invention relates to an anhydrous fluid composition comprising, in a cosmetically acceptable medium:a) at least one hydrocarbon oil andb) at least one lipophilic organic UV screening agent andc) at least one linear C1-C3 monoalcohol, in particular ethanol, andd) at least one lipophilic polyamide polycondensate.The present invention also relates to the use of the said composition in the manufacture of products for the cosmetic treatment of the skin, nails, hair, eyelashes, eyebrows and/or scalp, in particular care products, sun protection products, makeup products or scenting products.