The invention relates to a sterile wound dressing having a backing and a nonabsorbent elastomer wound contact layer, wherein the elastomer matrix is formed by a synthetic three-block elastomer, preferably a copolymer of polystyrene block and polyolefin block (SEPS, SEBS, SEEPS, etc.) or mixtures thereof, wherein the total polymer content is less than 3.2 wt %, in particular 3.0 wt % or less, preferably 2.6 wt % or less, and is plasticized by an apolar oil and/or petroleum jelly.