The invention relates to a rotating electrical machine (1) comprising a housing (10) including two bearings (52, 53), a rotor shaft (5) mounted to rotate freely in the housing via the bearings, a rotor (6) clamped to the rotor shaft so as to rotate the rotor shaft and comprising first (62) and second (63) axial end faces, and a cooling circuit comprising a coolant supply duct (51) arranged coaxially in the rotor shaft, and a radially oriented feed duct (54) arranged in the rotor shaft and in fluid communication with the supply duct and the rotor, characterized in that the cooling circuit further comprises a cooling chamber (61) in fluid communication with the feed duct, extending axially between the rotor and the rotor shaft, opening onto the first and second axial end faces and delimited radially by an angular portion of an external surface (55) of the rotor shaft and an angular portion (65) of an internal surface of the rotor, the two portions extending opposite and at a distance from one another.