The invention relates to a clutch system, comprising at least one clutch device, especially for arrangement in a drive train, between a drive unit and a transmission. Said clutch device (202) can be actuated through the conveying of a pressure medium and/or is able to operate under the influence of an operating medium. One aspect of the invention provides that a secondary medium that acts as the pressure medium for actuating or as the operating medium for operating the clutch arrangement is supplied by a pump arrangement (208) which supplies a primary medium and a secondary medium supply device (220) which is connected to the pump arrangement or a secondary pump arrangement (220). Said secondary medium supply arrangement or secondary pump arrangement has the following: at least one pressure absorption element which is movably arranged in a housing, which during operation, is exposed to the primary medium that is supplied by the first-mentioned pump arrangement, on at least one pressure absorption surface, and which can be caused to move by conveying the operating medium; and at least one interactional element which is movably arranged in the/a housing, which is motionally coupled to the pressure absorption element, which during operation, interacts with the secondary medium on at least one interactional surface, and whose action enables the supply of the secondary medium, optionally by displacement and/or introducing an acceleration and/or introducing a swirl.