There is described a method and apparatus for applying steam from a steam source to a moving web to thereby improve the smoothness and gloss of the web. A housing has at least one cooling chamber upstream and at least one steam chamber downstream. The cooling air in the cooling chamber is used to cool the web before steam is applied to the web from the steam chamber. This allows a sufficient volume of steam to be delivered to the web to thereby raise its moisture content to a desired level to thus achieve optimized calendering of the web.