Abstract: Method for obtaining a substantially dehydrated desorbate in the desorption of sorption materials loaded with a gaseous, recirculated desorption medium. The desorption medium is heated up in a first heat exchanger before it enters into the loaded sorption material. Desorbate is removed from the desorption medium by cooling in a second heat exchanger acting as a desorbate condenser, and water vapor is removed at least partially by adsorption in an adsorptive drier. The cooled and dried desorption medium is returned by a circulating blower to the first heat exchanger. The desorption medium before entering into the adsorptive drier, is cooled down in the initial phase of the desorption period in the desorbate condenser, first, to near the water saturation limit. The cooled-down desorption medium with the water vapor saturation which is high in this initial phase, flows toward the adsorptive drier and is subsequently heated in dry condition.