A pumping device intended to be connected to a process chamber (2) includes a dry primary vacuum pump, an auxiliary pump mounted so that the auxiliary pump bypasses a check valve on the vacuum pump, a first valve device connected to a purging device for purging the dry primary vacuum pump and intended to be connected to a gas supply, a second valve device mounted so that the second valve device bypasses a check valve upstream from the auxiliary pump, and a controller configured to control the first and second valve devices on the basis of an operating status of the process chamber in such a way that the first valve device is at least partially closed and the second valve device is open when the process chamber is operating at ultimate vacuum. Also a method for pumping of a process chamber by way of such a pumping device.