A media drying system removes a moistening liquid from a moistened medium. A heating member rotatable around an axis has a liquid-blocking layer with an inner surface and an outer surface. A backing layer affixed to the liquid-blocking layer defines a liquid cavity not including the axis. A heating liquid heated above a moistening-liquid boiling point is sealed between the liquid-blocking layer and the backing layer and in contact with the inner surface. A media-transport system transports the moistened medium so it contacts or is entrained around the liquid-blocking member. The moistened medium contacts the outer surface of the liquid-blocking layer, heat is transferred through the liquid-blocking layer from the warmed heating liquid to the moistening liquid, and the moistening liquid is vaporized and removed from the moistened medium.