A system for removing perspiration from a residual limb inserted in a prosthesis comprising an nonporous prosthesis socket, a porous thin sheath adjacent the socket, a nonporous liner adjacent the sheath, an osmotic membrane adjacent the liner allowing water vapor to pass from the limb but preventing liquid from passing to the limb, a nonporous seal that prevents air leakage between the residual limb and the socket; and, a vacuum source to reduce the pressure in a space between the limb and socket. A method of removing perspiration from a residual limb in a prosthesis.