A jacketed electromagnetic machine stator for a pressurized rotary machine operating in a corrosive atmosphere containing H2S or wet CO2 and including a plurality of pole pieces separated from a rotor by an airgap, wherein the hermetically sealed enclosure protecting said stator from said corrosive atmosphere includes a jacket constituted by a non-magnetic cylinder having magnetic material inlays situated in register with said pole pieces and that are not in contact with said corrosive atmosphere, said hermetically sealed enclosure being constituted externally solely by parts made of non-magnetic material that are secured to one another by welds that have not been subjected to any heat treatment.