An apparatus and method for flushing lint and other debris from the cylinder needle and sinker rest ring slots of a circular knitting machine utilizes a pair of nozzles disposed closely adjacent the upper end of the cylinder to inject into the slots from one nozzle a narrow pressurized stream of flushing oil and from the other nozzle a similar stream of pressurized air, either on an alternating or simultaneous basis, periodically over the course of operation of the knitting machine, preferably once every twenty-four hours, i.e. three work shifts, of machine operation.