A non-inflatable tire for an agricultural implement, including a sole, a tread, and a pair of sidewalls connecting the sole to the tread is provided. A first sidewall extends from the sole to the tread, while the second includes an internal portion which extends from the sole to the tread and an external portion projecting from the tread. The first sidewall and the tread are designed so as to jointly hold the external portion of the second sidewall in line with the internal portion.