The invention relates to a method for producing a fatty acid composition which, based on the entire weight of the fatty acids and/or fatty acid derivatives contained in the fatty acid composition, contains at least 70.0% by weight of docosahexaenoic acid and/or docosahexaenoic alkyl ester. The inventive method comprises the following steps: a) transesterifying a biomass obtained from Ulkenia sp. with an alcohol, thereby producing at least one docosahexaenoic alkyl ester and at least one saturated fatty acid ester, b) producing a solution which contains urea, at least a part of the biomass from step a) and at least one organic solvent, c) cooling or concentrating the solution from step b), thereby producing i) a precipitate which contains urea and at least a part of the saturated fatty acid esters, and ii) a liquid fraction, and d) separating the precipitate i) from the liquid fraction ii). The invention also relates to the fatty acid composition obtainable according to the inventive method and to the use thereof.