Based on the nonlinear small-scale self-focusing effect of pump laser, the influences of optical Kerr medium type, pump laser beam quality, and optical Kerr medium length on the beam smoothing effect are analyzed. The research results show that in the radial smoothing scheme based on dynamic wavefront control, an excellent beam smoothing effect is obtained with nitrobenzene instead of CS2 as the optical Kerr medium when the pump laser peak intensity is constant. In the practical applications, since the small-scale self-focusing effect of pump laser is aggravated with the increase of pump laser peak intensity or optical Kerr medium length, it is necessary to select suitable parameters of pump laser and optical Kerr medium for a good beam smoothing effect. Thus the influence of small-scale self-focusing effect of pump laser can be avoided.