Spiral-wound module comprising at least the following components: a) a metallic, hollow cylindrical permeate tube, in the wall of which there are openings that extend radially; b) an essentially two-dimensional rectangular membrane wound in a spiral around the permeate tube, which forms an essentially cylindrical spiral winding that extends coaxially to the permeate tube; c) two axial stops (anti-telescoping devices ATD) (2r, 2f) that are fitted to the permeate tube on either side of the spiral winding and each abut the respective end face of the spiral winding, where the axial stops (2r, 2f) are provided with axially fluid-permeable passages; d) a metallic, hollow cylindrical outer tube that extends coaxially with respect to the permeate tube, surrounds the spiral winding and is joined to the two axial stops (2r, 2f); where e) at least one of the two axial stops has a sleeve-shaped extension which, at its circumference, is surrounded by the outer tube such that a force-fitting and/or form-fitting connection is implemented between the outer tube and the axial stop via the extension thereof, characterized in that the force-fitting and/or form-fitting connection is a press-fit connection, a rectangular foil is arranged which is disposed between the spiral winding and outer tube and is positioned around the spiral winding such that the spiral winding is completely surrounded by the foil at its circumference, and where the sleeve-shaped extension is adhesively bonded to the foil on its inside. a) a metallic, hollow cylindrical permeate tube, in the wall of which there are openings that extend radially; b) an essentially two-dimensional rectangular membrane wound in a spiral around the permeate tube, which forms an essentially cylindrical spiral winding that extends coaxially to the permeate tube; c) two axial stops (anti-telescoping devices ATD) (2r, 2f) that are fitted to the permeate tube on either side of the spiral winding and each abut the respective end face of the spiral winding, where the axial stops (2r, 2f) are provided with axially fluid-permeable passages; d) a metallic, hollow cylindrical outer tube that extends coaxially with respect to the permeate tube, surrounds the spiral winding and is joined to the two axial stops (2r, 2f); where e) at least one of the two axial stops has a sleeve-shaped extension which, at its circumference, is surrounded by the outer tube such that a force-fitting and/or form-fitting connection is implemented between the outer tube and the axial stop via the extension thereof, characterized in that the force-fitting and/or form-fitting connection is a press-fit connection, a rectangular foil is arranged which is disposed between the spiral winding and outer tube and is positioned around the spiral winding such that the spiral winding is completely surrounded by the foil at its circumference, and where the sleeve-shaped extension is adhesively bonded to the foil on its inside. characterized in that the force-fitting and/or form-fitting connection is a press-fit connection, a rectangular foil is arranged which is disposed between the spiral winding and outer tube and is positioned around the spiral winding such that the spiral winding is completely surrounded by the foil at its circumference, and where the sleeve-shaped extension is adhesively bonded to the foil on its inside.