For the manufacture of a metallic honeycomb body which is wound, layered or looped from at least partially structured sheet metal layers, it is proposed to provide at least the structured sheet metal layers with a layer of rolling oil, to the extent that this is not already present in the process for manufacturing the sheet metal layers. A step for partially thermally removing highly volatile components of the rolling oil can follow. The honeycomb body manufactured from the sheet metal layers is brought into contact with a brazing powder which remains adhered to the rolling oil in particular in the area of the contact lines between the sheets. The honeycomb body is subsequently subjected to a brazing procedure in a high temperature brazing furnace under vacuum or a protective gas.