The problem of luminescence quenching in micelles assisted by quencher interphase migration is addressed by using a Smoluchowski approach without invoking any assumption neither on the statistical distribution of quenchers among the micelles nor on the independence of quenching and migration precesses. The obtained decay function coincides to a good degree of accuracy with the prediction of the originally developed stochastic model of quenching. This illustrates the applicability of the Smoluchowski type of a general approach to reaction kinetics in microdisperse systems, such as micelles, and reveals several tacit assumptions of the original model. The effect of micelle size polydispersity on luminescence quenching kinetics is also discussed.