An equation is obtained which describes the evolution of the average concentration of passive admixture in locally homogeneous isotropic reflectionally noninvariant turbulence. It is shown that anomalous convective flow appears which is of the same order in time scales as the turbulent diffusion and its direction does not coincide with that of a mean flow. Natural physical cases are considered when the direction of the anomalous convective flow is perpendicular to the direction of the mean velocity.