The class of co-Namioka compact spaces is stable under product

In an earlier paper we have established that the cartesian product of a family of co-Namioka compact spaces is co-Namioka if and only if all finite cartesian products of this family are co-Namioka. The purpose of this note is to show that the product of two co-Namioka compact spaces is always co-Namioka. The class of co-Namioka compact spaces is consequently stable under arbitrary products.