In one embodiment, an apparatus for applying a flexible, expandable sleeving over an elongated structure includes a first area for receiving the member and an elongated hollow conduit that receives the elongated structure within a hollow interior space thereof. The expandable sleeving is compressed and bunched and held in compression along an outer surface of the conduit. The apparatus also includes a second area that includes a pair of rollers that are disposed about one end of the conduit and are configured so that they contact the sleeving as it is paid out onto an outside of the elongated structure and prevent the compressed sleeving from suddenly releasing its stored energy and self-ejecting off of the conduit as the sleeving and bundle are mated and are moved away from the rollers.