Abstract: Intermediate an intracorporal first section and an extracorporal third section, a transcutaneous implantation catheter has a second section entirely consisting of an open-pore fiber fabric having a porous outer surface. It is particularly advantageous for a fast growing-in process that is not inflammatory and for a good transition from the subcutaneous connective tissue to the area of the skin epithelium, if the porosity (the spaces between the fabric fibrils) increases from the inside to the outside of the catheter. This allows the tissue to grow into the second section of the catheter. The implantation tunnel closes completely so that no liquid collections are allowed to be formed between the catheter and the tissue. The risk of infections is reduced. The first section is of the same material as the second section, but has a smooth surface and a wall of solid material.