We have studied, by numerical simulations, the spatially-induced group velocity dispersion in the propagation of ultrashort-pulsed Bessel beams in free space- The simulation results have confirmed the existence of the spatially-induced dispersions in the propagation of a truncated Bessel beam which can be constructed in practice- It is shown that the spatially-induced dispersion is observed when the diffraction length of truncated Bessel beams is longer than the dispersion length of spatially-induced group velocity dispersion-