A broom having a handle with a threaded end and a broom head connected to the handle which includes a generally cylindrical sleeve made of plastic having a first end which defines an open surface extending axially therethrough and a second end which defines a forward threaded open surface partially extending axially through the second end in communication with the open surface of the first end and further defines an open keyed surface of a predetermined configuration axially extending from the forward threaded open surface through a remainder of the second end, wherein the open surfaces of the first end and forward threaded open surface are configured to receive the threaded end of the handle and wherein the sleeve is employed in a method for winding a broom head which includes mating the sleeve to a shaft having a portion of an outer diameter of a size to be received within the open surface of the first end and a keyed end portion of an outer configuration to be complimentary received within the keyed surface, disposing broom corn or grass about the sleeve, securing an end from a winding wire through the broom corn to the sleeve, rotating the shaft such that the winding wire wraps about the broom corn in a manner to secure the broom corn to the sleeve and connecting another end of the wire to the sleeve.