The invention relates to an electric machine (1) having a rotor (3), a stator (2) and several rigid winding pieces (5) formed as hollow conductors, which form various coils of a winding (4) of the electric machine (1) and are each part of a cooling circuit of the electric machine (1). According to the invention, the winding pieces (5) each have at least one lateral tap (34) in the region of their end sections (8), via which tap a coolant can be fed into the winding pieces (5) or removed from the winding pieces (5).