The invention relates to a new composition comprising at least one styrene block copolymer, at least one plasticizer, and particles of a crosslinked polymer having a carboxylate group density of 2.0 to 12.0 meq/g and an average pore size of 0.005 to 1.0 μm, said composition being usable in particular for making an elastomer matrix suitable for any device such as a medical device, e.g. a patch, a film, a bandage or a dressing, preferably a dressing, intended for application to the skin, or suitable for any functional textile device such as a sports article.