Abstract: A one-piece hollow sleeve molded of an elastomeric vinyl has a cylindrical rear end portion for attachment to a flexible hose of central vacuum cleaning system and has a front end portion which is slidably frictionally engageable within the inlet opening of variety of inlet valves. The front end portion is formed with a series of specifically sized and located tapered zones of varying lengths and angles of taper which enable the sleeve to be used with a variety of inlet valves having various internal diameters and lengths. A metal band is seated in a recess formed in the front end portion between certain of the tapered zones and has a length and location enabling it to contact the various pairs of contact buttons of the various types and styles of inlet valves. This universal sleeve eliminates a different hose attachment sleeve being required for each of the most common inlet valves of the most popular central vacuum cleaning systems.