The results of studying the convective drying of cylindrical granules of a support for a nickel catalyst using mathematical modeling techniques have been presented. A mathematical model for intensive heat and mass transfer in a granule has been formulated that makes it possible to choose the efficient regimes of convective drying. The specific feature of the mathematical model is the analytical calculation of local mass transfer coefficients for a liquid taking into account the sorption properties of a material, a permeability coefficient, the local values of the moisture content, and temperature. Comparison of the results of mathematical modeling of heat and mass transfer in granules and the data of a laboratory experiment has shown that they are in satisfactory agreement.