In a previous work we experimentally tested some neutron self-shielding calculations methods for thermal absorbers, from which the semi-empirical ‘‘sigmoid method’’ gave the most accurate results. In this work we aim at evaluating the accuracy of this method on the epithermal self-shielding phenomena as compared to the analytical ‘‘MatSSF method’’. Metallic foils of Zr and Mo were compactly stacked together into small cylinders (or disks) of different thickness, allowing for up to 20 % epithermal selfshielding when irradiated on two channels of the BR1 reactor. A 2 % relative difference between calculated and experimental self-shielding factors was obtained from the MatSSF method when a perpendicular source-sample axial configuration was assumed, while the isotropic or the coaxial configuration alternatives gave up to 10 % relative differences. On the other hand, the sigmoid method gave relative differences of up to 6 % that can be reduced to just 2 % by applying the ‘‘effective’’ epithermal absorption cross-sections for 98Mo and 96Zr proposed in this work.