A tire suitable for extended-mobility travel includes sidewalls reinforced by a sidewall insert, namely an inner insert in the inner sidewall, and an outer insert in the outer sidewall. The inserts are made of rubber composition enabling the sidewalls to bear a load corresponding to part of the weight of the vehicle in a situation in which the inflation pressure is substantially reduced or zero. The inner sidewall, and more particularly the insert of this inner sidewall, has a substantially higher modulus of extension than the outer sidewall (and more particularly than the insert of this outer sidewall). The outer insert is subdivided into at least two zones; the inner insert can comprise one or more zones, but always fewer than the number of zones of the outer insert.