Abstract: In a low-temperature current transfer structure including a conductor with a cold end for connection to a superconductive component and a warm end for connection to a bus, there are provided heat exchange regions around the conductor at the cold end and a heat exchange region within the conductor at the warm end where the conductor is hollow cylindrical and, in a transition zone, includes passages for conducting coolant from the heat exchange regions around the conductor to the heat exchange region within the hollow conductor at the warm end to which electrical connectors are mounted on the outside. The arrangement permits heating of the coolant within the conductor close to ambient temperature so that no condensation or icing of the structure occurs and no insulation is needed at the connector end. Also the amount of coolant required is reduced so that also cooling equipment requirements are reduced.