In this paper we suggest a modification to the Beckmann-Kirchhoff model of rough surface reflectance that can be used for surfaces of intermediate roughness. One of the problems with the existing Beckmann model is that it fails for large angles of incidence. This problem was overcome for rough surfaces by Vernold and Harvey who use a Lambertian form factor. Here we take this work one step further by using a Fresnel coefficient to account for subsurface reflectance attenuation. This study also aims to show the existing modelling gaps between different variants of the Beckmann model. 