A hydraulic circuit arrangement for operating a hydrodynamic torque converter (1, 10) with a converter bridging clutch (11). The circuit arrangement comprises a hydraulic switching unit (3, 14) having at least one valve for controlling an inflow flow and a return flow of oil to the converter (1, 10) and the converter bridging clutch (11), an oil cooler (4, 15), a first line (5, 12) for acting upon the converter bridging clutch (11) with an engagement pressure (PWKzu) and a second line (6, 13) for acting upon the converter bridging clutch (11) with a disengagement pressure (PWKauf). The circuit arrangement comprises a bypass line (8, 17) which is connected directly with the oil cooler (4, 15) so as to bypass the hydraulic switching unit (3, 14).