The present invention relates to a method for the production of a cladding for elongated material (2), in particular a sheath for cable sets. In this method, an adhesive tape (3, 4) consisting of a carrier (4) and a first adhesive coating (3) which substantially fully covers the front side of the carrier (4) is combined with an adhesive-free carrier tape (5) such as to form a laminate (3, 4, 5). This is carried out such that the adhesive tape (3, 4) is applied to the carrier tape (5) with its first adhesive coating (3) in such a way that a first projection (Ü1) is defined along at least one of the two longitudinal edges of said adhesive tape. According to the invention, the carrier (4) of the adhesive tape (3, 4) is additionally provided with a further second adhesive coating (7) substantially in parts of its rear side.