Solvent evaporation process from the surface of two-phase polymer solution axisymmetric fiber is analyzed. Fick’s law of mass diffusion was employed under the condition that the solvent diffusion depends upon the solvent concentration according to the Vrentas – Duda free-volume theory. Numerical results are provided for the PAN/DMF fibers of different initial radii that are close to jet radii in electrospinning experiments.