An eye surgical cutting tool includes a tubular outer part with a closed distal end and an opening in the tube of the outer part near the closed end. The opening is bounded by an edge profile formed in the tube, which has a distal cutting edge and an opposite proximal cutting edge. A tubular inner part has an open distal end and is arranged in the tubular outer part so as to be movable in an axial direction. A suction is configured to extend ocular tissue through the opening of the outer part into the interior of the outer part and to convey severed tissue via the interior of the inner part to a proximal end of the inner part.