A device for cooling a superconducting machine is disclosed, including a storage vessel which receives condensed coolant and from which the coolant can be fed via a pipe to the machine, wherein the storage vessel has a storage region and an evaporator region, which is separated from the former, with a heat source which continuously has a temperature above the boiling point of the coolant. The evaporator region is connected via a curved overflow pipe to the storage region in such a way that, when a defined coolant filling level is reached in the storage region, coolant flows via the overflow pipe automatically into the evaporator region and evaporates there.