Recent analyses of glass mass estimates from Hanford high-level waste (HLW) performed by the Washington River Protections Solutions (LLC) have shown a strong dependency on the allowable concentrations of Aluminum, Sulfur, Phosphorous, and Bismuth plus the constraint to avoid the precipitation of nepheline from glass. A review was made on the limits for these constraints and it was found that some of them may be overly conservative. Recommendations were made to relax some of the constraints to better estimate the amount of glass likely to be produced from Hanford HLW without significantly increasing the risk of overestimating waste loadings. These changes were made for the Sulfur, Phosphorous, and Bismuth concentration limits along with their basis. In addition, a new nepheline constraint based on glass optical basicity was recommended to help obtain higher alumina concentrations in glass without the formation of nepheline, which generally reduces glasses chemical durability. These recommendations enable continued Hanford live cycle waste treatment modeling until sufficient glass property data and models are generated. The generation of these glass data and models is an on-going, long-term technical need.