Method for venting a pneumatic system of a vehicle, the pneumatic system comprising: - an air compressor having a variable speed (V comp) in a range of speeds, - a pneumatic circuit including at least one equipment operating with compressed air, - an air pressure management system comprising: at least one conduit connected to the pneumatic circuit through a valve, the valve having an open state allowing compressed air to pass through said valve and a closed state preventing compressed air from passing through said valve, an exhaust port opening to an outside environment, the exhaust port having an open state allowing compressed air to pass through said exhaust port and a closed state preventing compressed air from passing through said exhaust port, - a discharge line directly connecting the air compressor and the air pressure management system, - a control unit for controlling the air compressor and the air pressure management system, wherein the method comprises: - while pressure in the pneumatic circuit is between a cut-in pressure (P ci) and a cut-out pressure (P co), supplying the pneumatic circuit with compressed air from the air compressor through the discharge line and the air pressure management system, the valve being in the open state, the exhaust port being in the closed state and the air compressor operating at an operating speed (V o) of the range of speeds, - once pressure in the pneumatic circuit reaches the cut-out pressure (P co), lowering pressure in the discharge line, the valve being in the closed state, the exhaust port being in the closed state and the air compressor operating at at least one reduced speed (V r) of the range of speeds lower than the operating speed (V o), the reduced speed (V r) being non zero, - after pressure in the discharge line has lowered, releasing compressed air in the discharge line to the outside environment, the valve being in the closed state, the exhaust port being in the open state and the air compressor being stopped. - an air compressor having a variable speed (V comp) in a range of speeds, - a pneumatic circuit including at least one equipment operating with compressed air, - an air pressure management system comprising: at least one conduit connected to the pneumatic circuit through a valve, the valve having an open state allowing compressed air to pass through said valve and a closed state preventing compressed air from passing through said valve, an exhaust port opening to an outside environment, the exhaust port having an open state allowing compressed air to pass through said exhaust port and a closed state preventing compressed air from passing through said exhaust port, at least one conduit connected to the pneumatic circuit through a valve, the valve having an open state allowing compressed air to pass through said valve and a closed state preventing compressed air from passing through said valve, an exhaust port opening to an outside environment, the exhaust port having an open state allowing compressed air to pass through said exhaust port and a closed state preventing compressed air from passing through said exhaust port, - a discharge line directly connecting the air compressor and the air pressure management system, - a control unit for controlling the air compressor and the air pressure management system, - while pressure in the pneumatic circuit is between a cut-in pressure (P ci) and a cut-out pressure (P co), supplying the pneumatic circuit with compressed air from the air compressor through the discharge line and the air pressure management system, the valve being in the open state, the exhaust port being in the closed state and the air compressor operating at an operating speed (V o) of the range of speeds, - once pressure in the pneumatic circuit reaches the cut-out pressure (P co), lowering pressure in the discharge line, the valve being in the closed state, the exhaust port being in the closed state and the air compressor operating at at least one reduced speed (V r) of the range of speeds lower than the operating speed (V o), the reduced speed (V r) being non zero, - after pressure in the discharge line has lowered, releasing compressed air in the discharge line to the outside environment, the valve being in the closed state, the exhaust port being in the open state and the air compressor being stopped.