An arrangement for cooling an electrical machine is provided. The electrical machine includes a rotor and a stator, an air-gap being between the rotor and the stator. The stator includes a plurality of stacked laminate-plates. The laminate-plates include on a first side, which is facing the air-gap, a plurality of slots containing metal-windings of a stator-coil. The laminate-plates are positioned and fixed by a structural support and by end-plates in relation to a central-part of the stator. A joint cavity is formed by the end-plates, the central-part of the stator and an internal surface of the laminate-plates. The internal surface is defined by a second side of the laminate-plates, the second side being opposite to the first side. The cavity is coupled with an air-cooling-arrangement, which is arranged and used to circulate a cooling gaseous medium from the cavity to the air-gap and the laminate-plates back into the cavity.