A surgical cutting accessory that includes inner and outer tubes. A cutting feature is attached to the inner tube. The proximal end of the inner tube is connected to an inner hub. The inner hub has features for engaging a drive shaft integral with a handpiece to which the accessory is attached. The outer hub has features that facilitate the removable coupling of the hub to the handpiece. The outer hub is formed with a bore through which the inner tube extends. The outer hub also has an inlet port that extends from an outer surface of the hub to the main bore. Irrigation fluid can be flowed through this port into the annular space between the inner and outer tubes. A seal is located adjacent the inlet port.
