Abstract: In the gas-cooled electric machine, the stator winding bars, which are connected to one another electrically and mechanically outside the stator core assembly (2) in the overhang space by means of metallic lugs, are provided with caps (8) which virtually completely surround the lugs while leaving free one or more approximately axially extending ducts (9). These ducts (9) are open towards the stator core assembly (2). At its end on the partition side, the cap (8) has an opening (10) which is freely connected to said ducts (9). A flexible line (11) leads from this opening directly into the suction chamber (14) of the fan (5).As a consequence of the pressure difference between the suction chamber (14) and overhang space (13), some of the coolant conveyed by the fan (5) flows through said ducts and cools the rod ends and lugs (7).