A vehicle suspension system including a shock upper mount assembly mounted to vehicle structure, a jounce bumper being made of an elastomeric material and including a vertically extending rod bore around a rod of a shock absorber, and a jounce rate cup. The jounce rate cup is made of an elastomeric material and includes a horizontally extending support flange having a lower surface mounted on the jounce bumper, a horizontally extending dust boot attachment flange spaced from the support flange and having an upper surface located below and adjacent to the shock upper mount assembly, and a vertical flange extending between the support flange and the dust boot attachment flange to define a gap between the support flange and the dust boot attachment flange, with the jounce rate cup including a vertically extending rod bore mounted around the rod.