The present invention relates to a novel composition based on ABA triblock copolymers comprising two styrene thermoplastic end blocks A and a central elastomeric block B which is a saturated olefin, comprising at least one resin chosen from the aromatic resins, that can be used in particular for producing an interface dressing with reinforcement, with a support or which is self-supported, preferably self-supported.The present invention relates to a self-supported interface dressing which can be easily handled since it has good tear strength.