Let Ψ_G(x^t,x) denote the number of Gausslan integers with norm not exceeding x^(2t) whose Gausslan prime factors have norm not exceeding x^2 Previous estimates have required restrictions on the parameter t with respect to x. The purpose of this note is to present asymptotic estimates for Ψ_G(x^t,x) for all G ranges of the parameter t with respect to x.