A variable displacement compressor with a discharge pressure compensated suction shutoff valve (SSV). The SSV prevents noise generated at low refrigerant flow rates by a suction valve from propagating out of the compressor and to an air conditioner evaporator by variably restricting a fluid communication with the suction valve. The SSV is configured so the variable restriction is increased correspondingly with the discharge pressure if the discharge pressure is less than a threshold that is an indicator of low refrigerant flow rates, and the restriction is decreased if the discharge pressure is greater than the threshold.