A catheter system with a distal functional element, such as a self-expanding stent, includes a feed tube. The distal end of the feed tube surrounds the functional element and a sliding element configured to strike against the proximal end of the functional element in order to push forward the functional element from the feed tube. The feed tube has a tip portion that is tapered in the delivered state and expands when the functional element is slid out. The tip portion is formed from a glued e-PTFE laminate that delaminates when stretched by the functional element.
