Within the framework of the mechanics of fluid-saturated, isotropic, poroelastic materials, we analyzed mechanical responses of a circular cylindrical sample of such a material subjected to axial compression of constant strain-rate. We examined mechanical responses for a wide range of Poisson's ratio, from positive to negative, especially the apparently non-linear behavior due to pore fluid diffusion. It was found that the non-linearity is more remarkable for the smaller Poisson's ratio. The strong non-linearity appeared in a stress-strain curve for the negative ratio. Poisson's ratio apparently depends on time.