A method for operating a pressure control system having a multistage compressor. The method comprises providing a pressure medium compressed multiple times by the multistage compressor in order to fill a pressure medium reservoir or pressure medium chambers of the pressure control system, by performing (i) providing, by a first compression stage, a precompressed pressure medium and additionally compressing the precompressed pressure medium via a second compression stage, and/or (ii) introducing, into an intermediate volume between the first compression stage and the second compression stage of the multistage compressor, an already compressed charge pressure medium and compressing, by the second compression stage, the charge pressure medium again. An intermediate pressure of the precompressed pressure medium conveyed into the intermediate volume is limited by an overpressure valve interacting with the first compression stage. The overpressure valve is configured to open if the intermediate pressure exceeds a limit value.