In this paper we address the asymptotic behavior of a spectral problem associated with a diffusion model in nonhomogeneous perforate periodic media of \(\mathbb {R}^N\) with \(N\geq 2\) . The size of the perforations, the holes, and the period are of the same order of magnitude \(O(\varepsilon )\) while a Robin boundary condition is imposed on the boundary of the holes containing the parameter \( \varepsilon \) multiplied by a periodic function \(\rho _\varepsilon \) . The homogenized problem is obtained via the unfolding method, while the convergence of the spectrum with conservation of the multiplicity requires techniques from spectral perturbation theory.