The GN model of non-linear fiber propagation has been shown to overestimate\nthe variance of non-linearity due to the signal Gaussianity approximation,\nleading to maximum reach predictions for realistic optical systems which may be\npessimistic by about 5% to 15%, depending on fiber type and system set-up.\nAnalytical corrections have been proposed, which however substantially increase\nthe model complexity. In this paper we provide a simple closed-form GN model\ncorrection formula, derived from the EGN model, which we show to be quite\neffective in correcting for the GN model tendency to overestimate\nnon-linearity. The formula also permits to clearly identify the correction\ndependence on key system parameters, such as span length and loss.\n