The aim of this work is to propose the use of an intermediate model for large viscoplastic deformations that could predict the texture transition and stress-strain behavior in a range that spans from the upper bound (Taylor) to the lower bound (Sachs) estimates. In this model, we introduced a single parameter as a weight function to formulate the intermediate model which combines the Taylor and Sachs estimates. For the applications, we focus on the three main tests: plane strain compression, uniaxial tension and compression. An FCC polycristal represented by 100 crystals with an initially random orientation is used. The results for texture evolution show that a transition between the copper and brass type textures can be obtained by the proposed intermediate model.