Abstract: A coffee machine is provided with a boiler for heating brewing water, a brewing cylinder defining a brewing chamber, a closure piston for closing the one open end of the brewing cylinder as well as a brewing piston for compressing the coffee powder in the brewing cylinder and/or for ejecting the elutriated coffee powder cake, whereby the brewing piston is longitudinally movable in the brewing cylinder. The closure piston is integrally formed or rigidly connected to the housing of the boiler and firmly mounted to the housing of the coffee machine. Moreover, there is provided a brewing module that is removably inserted into the housing of the coffee machine and that includes at least the brewing cylinder and the brewing piston. The brewing cylinder and the brewing piston are movable in longitudinal direction, but cannot be rotated. Such a coffee machine can be designed very compactly.