A beverage maker for making a beverage includes a duct system having at least one duct for conveying a fluid beverage ingredient, and at least two elements for defining the duct system, which are configured to be fitted closely together. Recesses are arranged in a surface of at least one of these two elements, and serve for defining the ducts of the duct system. The duct system is further configured to convey steam besides the fluid beverage ingredient, where the steam serves for heating and pumping the fluid beverage ingredient. Furthermore, the duct system may also include at least one duct for supplying air to the fluid beverage ingredient, so that a frothed beverage may be obtained.