A method for producing a thermoelectric module and a tubular thermoelectric module include at least an inner tube, an outer tube and an interspace therebetween. At least a plurality of rings each formed by a plurality of n-doped and p-doped semiconductor elements disposed alternately in a circumferential direction are disposed in succession in an axial direction of the thermoelectric module in the interspace. On an inner side or an outer side of the semiconductor elements of one ring, electrically conductive first connections run only in the circumferential direction and, on an opposite outer side or inner side, at least one electrically conductive second connection electrically conductively connects an n-doped to a p-doped semiconductor element of an adjacent ring and runs at least in the axial direction of the thermoelectric module.