A media drying system removes a moistening liquid from a moistened medium having first and second surfaces. A liquid reservoir contains a heating liquid heated above a moistening-liquid boiling point. A rotatable liquid-blocking member has a liquid-blocking layer with an inner surface and an outer surface. A media-transport system transports the medium entrained around the liquid-blocking member so that the first surface of the moistened medium is brought into contact with the outer surface of the liquid-blocking layer. An entrained portion of the moistened medium passes through the liquid reservoir and is submerged in the warmed heating liquid. The heating liquid contacts the inner surface of the liquid-blocking layer so that heat is transferred through the liquid-blocking layer from the warmed heating liquid to the moistening liquid, or heat is transferred from the warmed heating liquid to the second surface of the moistened medium.