An infusion sleeve for use with a phacoemulsification handpiece has a hollow body with an open end by which the sleeve is attachable to the handpiece and an open tip through which a phacoemulsification needle is passed. Irrigating liquid is directed from the handpiece through the sleeve. At least three discharge ports are formed in the sleeve to provide increased flow of irrigating liquid proximate the sleeve tip. The ports may differ in size, shape and positioning on the sleeve.