The present invention relates to a method for increasing the SUS content in an oil or in an olein fraction, comprising performing 1,3-selective enzymatic intraesterification on a natural starting oil or olein fraction prepared therefrom wherein the ratio between SUS and SUU is at least 1:1.5 and the SSS content is low, in particular close to 0%. Further, the present invention relates to 1,3-Selective intraesterified oil or olein, obtainable by performing the present method.