One subject of the present invention is a dressing essentially consisting of: an absorbent nonwoven compress formed from a mixture: of bicomponent thermal bonding non-absorbent fibers, of core-shell type, said core being made of polyester (polyethylene terephthalate, PET) and the shell being made of polyethylene of bicomponent superabsorbent fibers of core-shell type with a core made of polyacrylonitrile and a shell made of polyacrylate and a net fabric made from a hydrocolloid elastomer mass partially covering the face of the compress intended to come into contact with the wound. This product is especially intended to promote the healing of chronic wounds by optimizing the debridement.