The elliptic-blending, lag parameter approach is developed for the conventional k — ω, linear eddy viscosity model. A scalar parameter designed to represent the effects of stress-strain misalignment is used to scale the eddy viscosity. From the definition of the parameter, an additional transport equation is formed from an underlying Reynolds stress model. Balance between the near wall and away from wall terms of the new transport equation is maintained through a blending parameter which is a solution of an elliptic equation. The new model improves the prediction of separated flows, ranging from canonical to complex geometries, while maintaining numerical simplicity. Several two dimensional flow configurations have been tested with the proposed formulation and the results show improved agreement with existing experimental and DNS/LES data.