The invention relates to a vehicle wheel assembly, comprising 1) a wheel rim having two opposed circular rim flanges; 2) an outer tire having two beads secured at the circular rim flanges; 3) an inlay; 4) a non-pneumatic inner tire comprising expanded thermoplastic polyurethane (E-TPU), which inner tire is enclosed by the outer tire, the inlay and the wheel rim. The inner tire in the assembly is in a compressed state S1, which state is compressed as compared to a relaxed state S2 when the inner tire is not enclosed by the outer tire, the compression being such that the cross-sectional surface area SA of the inner tire, which area is perpendicular to the plane of the tire, is smaller in state S than in state S2.