There is presented a modification of the diffusion-inertia model that describes the distribution and deposition of low-inertia particles in turbulent near-wall flows. For the transport equation of the dispersed phase concentration, there is proposed a new wall function that takes into account the nonequilibrium effects and nonlocality of the turbulent transport of the dispersed phase in the near-wall zone caused by the particles’ inertia. This allowed widening the applicability limits of the diffusion-inertia model even for particles with a relaxation time with a magnitude of several hundred. The calculation results for the rate of the particles’ deposition from the turbulent flow to the walls in a round pipe are in good accord with the literature experimental data and the data of direct numerical simulation.