A conduit duct for sealing at least one conduit includes an elastomer body for sealingly contacting the conduit. The elastomer body comprises at least two elastomer parts, wherein each of the elastomer parts includes a plurality of hollow sleeves. In an assembled condition of the elastomer body parts, the hollow sleeves of one of the body parts are arranged with the hollow sleeves of the other one of the body parts to form a sequence of layers surrounding the conduit. A tensioning device positioned on the elastomer body compresses the elastomer body to thereby sealingly press the body onto the conduit.