An appliance for preparing frothed milk includes a container for receiving milk and a docking element for connection to a drinks preparation machine. The docking element includes a connection for steam delivered by the drinks preparation machine, and a milk froth outlet for the frothed milk. The docking element includes a main body with a plurality of fluid channels and a supplementary part, which is reversibly removable from the main body. The supplementary part has a material that is softer in comparison to the main body, is continuous and includes several elements through which milk, steam, water and/or air can flow and which engage into the fluid channels.