We report an anomalous enhancement of the critical temperature (T c ) when the thickness (d) of the magnetic layer is decreased from 60 to 20Å in amorphous FeZr/AlZr multilayers. Further reduction of the thickness causes a decrease of T c , as expected by finite-size scaling, while the magnetic moment decreases monotonically for all values of d. The increase of the critical temperature is attributed to a reversed interface effect where local changes in the nearest-neighbor distance and coordination number gives a higher effective magnetic coupling at the interfaces compared to the interior of the layer. We have successfully described the results within a model where such interface effects are combined with finite-size scaling.