A process for making a frozen aerated confection is provided, the process comprising: preparing a mixture comprising water, sugar, protein, and at least 2 wt % milk fat; pasteurising and homogenizing the mixture; ageing the mixture at a temperature of from 0 to 6° C. to produce a mix; aerating and at least partially freezing the mix; the milk fat having (by weight of the fatty acids) a SAFA content of at most 60 wt % and a C18:0 content of at least 10 wt %, as well as to a mix for making frozen aerated confections, such as ice cream, based on milk fat which contains a low amount of saturated fatty acids.