We present an analytical treatment of diffusional release of a dispersed solute from a cylindrical non-erodible polymeric matrix and study the mechanism of diffusional release of solute from the matrix system as a function of solute loading parameter. The diffusion equation is solved exactly under perfect sink condition for certain concentration of solute in the form of cylindrical geometry. The numerical solution of diffusional release function as a function of time is found to be increased initially and then remain constant after certain time, tau(c). This tac(c) is found to be as a function of solute loading parameter. The asymptotic solutions of the diffusional release function is also presented.