The disclosure deals with a lubricative skin engaging member with progressive release of lubricating polymer from a water-insoluble matrix containing thermoplastic elastomer compound and maleic anhydride copolymer and lubricating polymer in concentration less than 30%. The disclosure lies in the use of the maleic anhydride in grafted form on polyethylene and the incorporation of water-soluble lubricating polymer in concentration less than 30% in the thermoplastic elastomer compound, leading to a lubricative mixture, and to a skin engaging member, with increased homogeneity and water absorption ability that assist in lubricating polymer release in a progressive and controllable way.
