There are known drum jacket constructions that consist solely of perforated sheet metal. There are also known constructions, which, in order to increase the distance between the drum and the surrounding perforated sheet-metal wire gauze, consist of sheet metal with trusses configured e.g. as sheet-metal rings, or of honeycomb sheet-metal strips that are welded together, or of screwed constructions devoid of welding joints. The simplest solution for increasing said distance is a construction comprising a normal screen drum with struts bent into a U-shape that are screwed to the exterior, whereby the wire gauze lies on the external edges of said struts. Said drum however has a low buckling resistance, which is a required characteristic for the drying of tissue or paper. The novel drum jacket construction thus consists of an intersecting structure of sheet-metal strips, whose rings and strips are provided with corresponding insertion slots. The rings and strips are pushed into one another, so that they are at the same radial height and are screwed together. The free flanks of the insertion slots of the sheet-metal strips and also the sheet-metal ring are interconnected in a fixed manner by at least one respective additional connecting plate, using the screws.