The skyrmion stability at finite isospin chemical potential is studied using the Skyrme Lagrangian with a finite pion mass . A critical value , above which a stable soliton does not exist, is found. We also explore some properties of the skyrmion as function of , i.e., the isoscalar rms radius and the isoscalar magnetic rms radius. Finally, considering the finite temperature effect on the skyrmion mass, we obtain a critical temperature , using the profile function of the skyrmion, above which the skyrmion mass does not have a minimum, which can be interpreted as the occurrence of the deconfinement phase transition.