A device for feeding milk from a storage container (8) to a dispensing device (3), containing a feeding line (9), whose intake end (9a) is detachably connected to the storage container (8), and with a cleaning possibility for at least a portion of the exterior of the feeding line (9). In order to enhance a device of this type such that the cleaning is simplified, a cleaning mechanism (11) be provided for the exterior of the feeding line (9), which comprises a rinsing area (12) for holding the portion of the feeding line (9) that is to be cleaned. The rinsing area (12) contains a hot water intake opening, a steam intake opening, a cleaning agent intake opening, or cold water intake opening (17), and also a connection opening (14) for the detachable introduction of the portion to be cleaned.