Many kinds of dispensing devices for drinks or similar fluid foodstuffs, especially for coffee and/or milk are already known. Said devices comprise supply means for supplying at least two different hot drinks, filling outlets for dispensing hot drinks into at least one cup and valve means for stopping and releasing drink pipelines between the supply devices and the filling devices. According to the invention, in order to improve hygiene and product quality, the valve means are embodied in such a manner that additional pipelines for supplying and/or discharging flushing agents for cleaning, hot water or steam for preheating or other similar fluids, can be connected to the valve means instead of to the drinks pipelines in order to treat the valve means in the areas through which hot drinks flow. As a result, a rinsing process can be automatically controlled between two dispensing steps.