A temperature control arrangement (1) of a motor vehicle has an electric machine (2) with a rotor (3) and a stator (4), a stator cooling arrangement with a first cooling circuit (6) for cooling the stator (4) with a first cooling medium (8) flowing in the first cooling circuit (6) that is formed by a motor vehicle cooling circuit, a rotor cooling arrangement with a second cooling circuit (7) for cooling the rotor (3) with a second cooling medium (9) flowing in the second cooling circuit (7) that is formed by a transmission oil cooling circuit, a heat exchanger (10) that thermally couples the first cooling circuit (6) and the second cooling circuit (7). The stator cooling arrangement is configured such that the first cooling medium (8) makes direct contact with the stator windings.