A method for producing a sealing connection between a filter mat of a tubular filter element and a metallic head piece encircling the filter element at one end. The head piece has an annular groove accommodating the edge of the filter mat. In order to reduce the internal diameter of the annular groove, the wall adjacent to the periphery is compressed by the periphery of the head piece towards the interior by applying a force of pressure which is directed radially towards the interior. The wall of the annular groove adjacent to the periphery is provided with an enlargement which enlarges the diameter of the head piece. The force of pressure for compressing the wall is applied in the area of said enlargement.