A method for converting a cryostat configuration (1) having a first container (2) with a liquid helium bath (3) and a second container (6) which is filled with liquid nitrogen (7) is characterized in that a cooling medium (12) which is in a gaseous state at a temperature of 60K and a pressure of 1 bar, is introduced into the second container and is cooled by a refrigerator (16) by means of a cooling circuit (11), the coolant lines of which are guided into the second container, to an operating temperature of ≦60K. With this retrofit for existing cryostat configurations that utilize both liquid helium and also liquid nitrogen for cooling a superconducting coil, use of liquid nitrogen can be completely avoided and the evaporation rate of the liquid helium can also be considerably reduced without having to re-liquefy the cryogens used.