1. A flushing system for flushing the nipple cleaning device, in which the flushing system comprises an inlet pipeline (14) configured to transport the flushing liquid to at least the nipple cleaning element (1) of the nipple cleaning device, characterized in that the system comprises a return pipeline ( 15), configured to create a recirculation of the flushing liquid from the teat cleaning device to the inlet pipeline (14) so that a separate closed loop is formed for the flushing liquid, and a circulating means (16) configured to create a circulation of the flushing liquid in a separate closed flow loop while flushing at least the teat cleaning element (1) of the teat cleaning device. 2. The flushing system according to claim 1, characterized in that it comprises a connecting element (13) adapted to be connected to the nipple cleaning element (1) of the nipple cleaning device when it is necessary to perform the rinsing process. The flushing system according to claim 2, characterized in that the connecting element (13) comprises a part of an inlet pipeline (14) configured to supply flushing liquid to the teat cleaning element (1) of the teat cleaning device. The flushing system according to claim 1, characterized in that the teat cleaning element (1) comprises a recess (1a) adapted to receive the nipple of a dairy animal during the teat cleaning process, in which the flushing liquid is allowed to flow into the recess (1a) of the teat cleaning element (1) during the rinsing process. 5. Washing system according to claim 1, characterized in that the teat cleaning device contains1. Промывочная система для промывки устройства очистки сосков, в которой промывочная система содержит впускной трубопровод (14), выполненный с возможностью транспортировать промывочную жидкость по меньшей мере в очищающий сосок элемент (1) устройства очистки сосков, отличающаяся тем, что система содержит возвратный трубопровод (15), выполненный с возможностью создавать рециркуляцию промывочной ж
