A dishwasher includes a washing container, devices for washing dishes by means of rinsing liquor, and a sorption drying device which is connected in an air-conducting manner to the washing container via an outlet of the washing container and an inlet of the washing container. The sorption drying device is provided with a sorption column encompassing reversibly dehydratable material and is disposed between a wall of the washing container and an exterior housing wall of the dishwasher.