An air-conditioning system for a motor vehicle includes a coolant circuit, through which it is possible to pump coolant with the aid of a compressor, the air-conditioning system having a torque-determining unit for determining a drive torque required for operating the compressor as a function of a temperature of air, which has flowed past an evaporator integrated into the coolant circuit for evaporating coolant, a pressure of the coolant prevailing in the coolant circuit in front of the compressor relative to a flow direction of the coolant or an actuating signal for setting a settable compressor stroke of the compressor.