A switching device in an auto-reverse deck for a magnetic-tape-cassette apparatus, in which a first pressure roller (24) mounted on a first pressure-roller lever (20), for a first tape-transport direction, can be applied to a first capstan (36) in a first operating position of the switching device and a second pressure roller (25) mounted on a second pressure-roller lever (21), for a second tape-transport direction, can be applied to a second capstan (37) in a second operating position of the switching device, in which a magnetic head is arrangeable on a carrier element (2) mounted on a deck plate (1) and is movable in different positions relative to a transport path of a magnetic tape.