Abstract: The invention relates to crosslinking compositions for polyurethane elastomers, made up of a polyol component containing: 30 to 80 wt % polyether diols and/or polyester diols; 10 to 40 wt % polyols comprising at least three OH groups; and to 50 wt % of a monofunctional compound that comprises an isocyanate-reactive group, and an isocyanate component containing an at least trifunctional isocyanate, such that the NCO/OH ratio is intended to be between 0.9 to 1.2. Use of the corresponding crosslinked polyurethane elastomers as molded elements is also described.