A coffee machine includes a device for supplying hot water to an outlet device into which a filter-paper insert with ground coffee is insertable. The outlet device is adapted for being arranged above a filter vessel and for receiving the hot water from the hot water supply. The outlet device has a central outlet opening over a middle region of the filter-paper insert when filled with ground coffee and a plurality of outer outlet openings arranged above a middle region of the side walls of the filled filter-paper insert. A controllable selector switch controls a rate of hot water through individual outlet openings of the outlet device. The controllable selector switch has at least three switching positions for adjusting coffee strength. In all switching positions of the controllable selector switch the hot water is at least partially supplied via the outer outlet openings over the filled filter-paper insert.