An oil-injected multi-stage compressor system that comprises at least a low-pressure stage compressor element with an inlet and an outlet and a high-pressure stage compressor element with an inlet and an outlet, whereby the outlet of the low-pressure stage compressor element is connected to the inlet of the high-pressure stage compressor element through a pipeline, characterized in that the compressor elements (2, 3) are provided with their own drive in the form of an electric motor (2a, 3a), whereby the compressor elements (2, 3) are connected to the electric motor (2a, 3a) either directly or through a gearbox and that an intercooler is provided in the aforementioned pipeline between the low-pressure stage compressor element and the high-pressure stage compressor element, whereby the intercooler is adjustable, whereby the compressor system is also equipped with a control unit or regulator to control or regulate the intercooler, so that the temperature at the inlet of the high-pressure stage compressor element is above the dew point, whereby the intercooler is one selected from a group consisting of - an air-cooling system, which is adjustable by means of a fan, whereby the flow rate of the air can be controlled by adjusting the speed of the fan; and - a water cooling unit, which is adjustable by means of a valve that can regulate the flow of the water, whereby the intercooler can additionally be regulated by selecting one or more from a group consisting of - changing the temperature of the air or water, respectively; - a bypass pipeline through which part of the gas to be cooled is sent, instead of through the intercooler; and - screening a part of the intercooler so that the gas to be cooled is exposed to only a part of the intercooler. whereby the intercooler is adjustable, whereby the compressor system is also equipped with a control unit or regulator to control or regulate the intercooler, so that the temperature at the inlet of the high-pressure stage compressor element is above the dew point, whereby the intercooler is one selected from a group consisting of - an air-cooling system, which is adjustable by means of a fan, whereby the flow rate of the air can be controlled by adjusting the speed of the fan; and - a water cooling unit, which is adjustable by means of a valve that can regulate the flow of the water, - an air-cooling system, which is adjustable by means of a fan, whereby the flow rate of the air can be controlled by adjusting the speed of the fan; and - a water cooling unit, which is adjustable by means of a valve that can regulate the flow of the water, whereby the intercooler can additionally be regulated by selecting one or more from a group consisting of - changing the temperature of the air or water, respectively; - a bypass pipeline through which part of the gas to be cooled is sent, instead of through the intercooler; and - screening a part of the intercooler so that the gas to be cooled is exposed to only a part of the intercooler. - changing the temperature of the air or water, respectively; - a bypass pipeline through which part of the gas to be cooled is sent, instead of through the intercooler; and - screening a part of the intercooler so that the gas to be cooled is exposed to only a part of the intercooler.