The invention relates to a method and to a plant for producing depleted liquid, in particular ion-depleted drinking water, from a primary liquid, such as sea water, for example. The method comprises the steps of supplying the primary liquid into a crystallizer, cooling the primary liquid in the crystallizer such that the primary liquid in the crystallizer is cooled to the range of a phase transition temperature of the primary liquid or below, and at least partially transitioning the primary liquid into the solid phase to produce primary ice in the crystallizer, and compressing the primary ice to separate an enriched carrier liquid (14) from the depleted liquid.