A composite cover material to be used for making an integrally foamed article comprises a permeable fabric (10) and a thin layer of latex foam (15) strongly bonded via bonding zone (17) to said fabric. The latex foam layer (15) is made by applying high molecular latex material such as rubbers or synthetic resins as coating to back surface (12) of said fabric, and permitting said latex material to foam and cure. The latex foam has relatively fine mechanical open cells (18) in its internal part and further finer open cells (20) near its outer surface skin (22) which is permeable by virtue of minute holes (21) formed therein. The skin (22), though permeable by minutes holes, can serve as substantially flat and smooth barrier surface against liquid foamable mixtures poured directly onto said skin for making body foam (25) so as to guide slidingly said mixtures therealong and also prevent substantial impregnation into said latex foam.