A new semiempirical model for prediction of self-diffusion phenomena in liquids is proposed. Assuming analogy between the concept of a free volume in liquids and a porosity of a granular medium, a capillary model of the granular bed and the Kozeny-Carman theory was applied to determine self-diffusion coefficients in liquids. The dimensionless free volume in liquids was evaluated using a combination of the proposed dependence and an appropriate formula available in the literature. The new model was tested for 89 sets of data concerning self-diffusion of different chemical substances at several values of a temperature. The average error of a prediction was between +/- 1% and about 3% for some data points.