An additively manufactured air gap winding for an electrical machine is provided. The air-gap winding includes a hollow cylindrical main portion having a geometric axis, the main portion defining an active winding length of the winding, and electrical winding conductors of the winding extending in the main portion from a first axial end of the winding to a second axial end. The air gap winding further comprises a first winding head at the first axial end and a second winding head at the second axial end, wherein winding head connections of the winding conductors extend in the winding heads. The winding heads project radially inwardly and/or outwardly beyond the hollow cylindrical main section. The winding head connections extend at least in sections at different distances from the axis in such a way that one winding head connection at least partially radially surrounds the other winding head connection.