  If every vertex in a map has one out of two face-cycle types, then the map is
said to be $2$-semiequivelar. A 2-uniform tiling is an edge-to-edge tiling of
regular polygons having $2$ distinct transitivity classes of vertices. Clearly,
a $2$-uniform map is $2$-semiequivelar. The converse of this is not true in
general. There are 20 distinct 2-uniform tilings (these are of $14$ different
types) on the plane. In this article, we prove that a $2$-semiequivelar
toroidal map $K$ has a finite $2$-uniform cover if the universal cover of $K$
is $2$-uniform except of two types.
