It is known that such features of pulsed THz radiation as a small number of periods and an ultra-wide spectrum modify the appearance of linear effects like absorption, dispersion, and diffraction. In this work, we study the influence of the spatial localization of a THz pulse during its generation. It is shown that this leads to a spatial chirp of the pulse. Based on the results obtained, recommendations are formulated for working with such pulses, which make it possible to guarantee that spectral information will not be lost during the propagation of such pulses.