In 1981, Tsukada worked on the isospectral problem with respect to the complex Laplacian for a two-parameter family of Hermitian structures on the Calabi-Eckmann manifold S2p+1×S2q+1 including the canonical one. In this paper, we define a two-parameter family of almost hyperbolic Hermitian structures on the product manifoldM = M × M' of a (2p + 1)- dimensional Sasakian manifold M and a (2q + 1)-dimensional Sasakian manifold M' similarly to the method used in11, and show that any almost hyperbolic Hermitian structure on M belonging to the two parameter family is integrable and again find necessary and sufficient conditionfor a hyperbolic Hermitian manifold in the family to be Einstein