The invention relates to an exchanger device for transferring mass and/or energy between a first and second medium. The device comprises a chamber which has a first inlet and outlet of the first medium and through which the first medium can flow, and the chamber is equipped with at least one mass- and/or energy-permeable exchanger hollow fiber, preferably a plurality of mass- and/or energy-permeable exchanger hollow fibers, which is/are connected at one end to a second inlet and at the other end to a second outlet of the second medium, wherein the second medium can flow through the fiber(s) and the first medium can flow around the fiber(s). The chamber is equipped with at least one pump element by means of which the first medium can be displaced out of the chamber and sucked into the chamber in a pulsing manner. The pump element has an elastically deformable element and is connected to a third inlet of a third medium that is used as a driving medium, said pump element being expandable by the third medium.