The present invention relates to a cover for wrapping at least one article, the cover being of the type constituted by a sleeve of heat-shrinkable plastics material suitable for closely surrounding at least a portion of the article or a group of articles. In accordance with the invention, the sleeve is constituted by superposing at least two walls secured to each another by detachable adhesive means, said walls having shrinkage characteristics that are essentially identical, and the outermost wall of the sleeve also presenting, through its entire thickness, at least one cut defining a detachable circumferential strip, said circumferential strip being printed so as to present respective patterns of printing that appear on each of its sides, the other wall(s) also presenting a pattern of printing behind the detachable circumferential strip that appears after said circumferential strip has been detached.