A brewing device (1) for a coffee machine comprises a brewing cylinder (6) with a cylindrical hole and two pistons (3, 4) by means of which the brewing cylinder (6) can be closed off in order to form a brewing chamber (12). The brewing cylinder (6) and the pistons (3 and 4) are held in a frame (2), in a way displaceable relative to one another, and are drivable via a drive device (9, 10). This drive device (9, 10) comprises a spindle (9), the two ends of which are designed as bearing pins (25), and are mounted such that they are rotatable in a sliding way in bearing rings (26, 27) fitted in the frame (2). At least one supporting element (28) is inserted in at least one of the bearing rings (26), and is pressible substantially radially against the bearing pin (25) by means of a spring element (37). The bearing play between bearing ring (26) and bearing pin (25) is thereby compensated; a silent operation of the spindle in the brewing device results.