A sleever apparatus includes an inner member with a central passage through which an item to be sleeved is passed. An outer member surrounds the inner member and defines a space between the members for holding a supply of containment material, which is preferably plastic sleeving. The apparatus has a handle which allows a user to hold the apparatus and walk the apparatus along the length of the item to be sleeved. As the user passes the item through the sleever apparatus, the containment material exits through a slit at one end of the apparatus in order to contain the item. The sleever apparatus may be formed of disposable materials, such as cardboard, and may be intended for a single use application. Alternatively, the sleever apparatus may be comprised of more permanent materials such as PVC or fiberglass. The sleever apparatus may include a serrated end for cutting the containment material and may include appropriate tubing and valves for either directing an inert gas into the containment material around the item or for withdrawing air from within the containment material in order to create a vacuum. In one embodiment, the sleever apparatus has a cartridge that can be replaced with another cartridge once the supply of the containment material has been depleted.