An alternative weighted-sum-of-gray-gas (WSGG) model is proposed to deal with conditions that are common in oxy-?red combustion. The method proposes a single set of pressure-based absorption coefficients that account for different mole fraction ratios (MR) of H2O-CO2, thus requiring no further interpolation, which in turn brings not only less uncertainty into the model, but also simplifies its use. The HITEMP-2010 spectral database along with the line-by-line (LBL) integration is employed to generate a set of accurate total emissivities from which the WSGG coefficients are fitted. The fitting procedure employs a novel formulation to account for the MR dependence, leading to a more compact set of WSGG correlations when compared to the alternatives available in the literature. As oxy-?red combustion usually occurs in two distinct scenarios, dry- and wet- ?ue-gas-recirculation (FGR), the paper also proposes two other sets of coefficients intended to support the MR ranges corresponding to these specific conditions. Comparisons made against the benchmark LBL integration and other WSGG models, for one- and three-dimensional calculations, show the satisfactory level of accuracy of the proposed sets of correlations. In particular, the three-dimensional test case illustrates that the new model is also applicable to conditions observed in air-fuel combustion.