An electrical machine includes a tubular rotor magnetised to have circumferential polar alternations, and a stator including a body that is traversed by a channel having an inner transverse section that substantially corresponds to the outer transverse section of the rotor, the body carrying a plurality of windings, the stator being surrounded by an outer ferromagnetic envelope, the body being extended by three, four or six radial projections made from an electrically insulating material having, in the transverse cross section, a longitudinal core for receiving a winding, the core being extended by a peripheral extension having an outer surface that matches the inner surface of the envelope and covers the wound area. A method for producing such an electrical machine is also provided.