A hollow electron beam is a novel tool for (proton) beam cleansing and handling in high-brightness high-energy accelerators. A cylinder-like beam of electrons may serve as a perfect collimator, not subject to overheating and destruction. A design of an electron gun, producing a hollow electron beam for Large Hadron Collider (LHC) is presented. The electrons, emitted from a hollow cathode are transported and focused by two superconducting solenoids. Finally the electrons are dumped in the collector.