The process involves coating on both sides of an endless track of a base material consisting of inorganic fibers, preferably a glass fiber fleece, with aqueous ceramic slips, and drying of the coating. The base material with a weight per unit area of 30-200 g/m.sup.2 is coated with a slip, at least 500 g/m.sup.2, preferably 1000-2000 g/m.sup.2, without the use of an additional support, preferably on one side with a paste and on the other side with a glaze slip. The slips contain 3-20% by weight organic binders that decompose uniformly and without residue between 250.degree. and 600.degree. C. The dried, unfired veneers in free suspension may be coiled and uncoiled and subjected to continual decoration and firing processes.