A method for producing a composition comprising conjugated linoleic acid in an amount of at least 55 % by weight, comprises: (i) providing a liquid mixture comprising, as the free acids, from 50 to 95 % by weight conjugated linoleic acid and at least 5 % by weight of saturated C12- C22 fatty acids (ii) cooling the liquid mixture to a temperature at which at least a part of the saturated C12-C22 fatty acids precipitate from the mixture as a solid and (iii) separating the solid from the liquid, wherein the liquid obtained in (iii) comprises conjugated linoleic acid in an amount of at least 55 % by weight.