A suction stent for introduction into a hollow organ of the human or animal body, preferably into the gastrointestinal tract, in particular the intestine, includes a tubular hollow body which is open in the longitudinal direction and made of biocompatible material. The tubular hollow body has a fixed diameter at least in its central portion. A porous shapeable material, preferably a sponge material, which is biocompatible and shapeable in the radial direction, radially sheaths the tubular hollow body at least in a section of the tubular hollow body. A method for sealing a leakage, especially an anastomosis, of the hollow organ utilizes the stent.