An elastic support for on-board suspension systems of a motor-vehicle includes at least one body formed of polymeric elastomeric material supplemented with carbon-based nanofillers. An outer surface is provided with one or more piezo-resistive areas where a polymeric material supplemented with carbon-based nanofillers has been made locally piezo-resistive by laser irradiation so as to define one or more electric deformation sensors configured to detect the load applied on the elastic support.