A tip for a liquefraction surgical handpiece. The tip uses at least two lumens. One lumen is used for aspiration and another, smaller lumen is used to inject heated surgical fluid for liquefying a cataractous lens. The distal portion of the injection lumen terminates just inside of the aspiration lumen so that heated fluid escaping the injection lumen is reflected off of the internal wall of the aspiration lumen prior to entering the eye. Such an arrangement prevents the injected fluid from directly entering the eye. The handpiece may also contain other lumen, for example, for injecting relatively cool surgical fluid.