A method for operating a drive system including an internal combustion engine, the drive system including an electromotively-assisted exhaust-driven supercharging device or a strictly electrically operated supercharging device, the method including checking on whether a gear change has been initiated and a drive train has been disengaged accordingly; upon detecting an initiated gear change, adjusting the compressor power of the supercharging device by additionally facilitating electric power to the electromotively-assisted exhaust-driven supercharging device or to the strictly electrically operated supercharging device, in such a way that, at least toward the end of the gear change, a charging pressure is made available in a charging pressure section of the drive system which is higher than a charging pressure resulting at a compressor power, which corresponds to the exhaust gas enthalpy of the internal combustion engine provided during the gear change.