Use of a cosmetic composition comprising one or more volatile linear alkane and one or more nonionic associative polymers, in a medium, for conditioning of keratin fibers, preferably hair, is claimed. An independent claim is included for a cosmetic composition comprising one or more volatile linear alkane, and one or more nonionic associative polymer, where the nonionic associative polymer is: cellulose modified by a group comprising at least one fatty chain； hydroxypropyl guar modified by a group comprising at least one fatty chain； copolymer of methacrylate or 1-6C alkyl acrylate and amphiphilic monomer comprising at least one fatty chain； copolymer of methacrylate or hydrophilic acrylate and hydrophobic monomer comprising at least one fatty chain； polyurethane polyether comprising in their chain, both a hydophilic block such as polyoxyethylene and hydrophobic block, which are aliphatic chain alone and/or in combination with cycloaliphatic and/or aromatic chain； and polymer having aminoplast ether block comprising at least one fatty chain.
