In view of the high reactivity of the lithium metal, lithium batteries must operate in an aprotic environment, which can either be a conducting polymer, a liquid solvent, or a mixture of them. Two families of aprotic liquids were considered as solvents for lithium bis(trifluoromethylsulfone)imide (LiCF3SO2NSO2CF3 or LiTFSI). The first one is the substituted sulfamides, R1R2NSO2NR3R4, where the R groups are either methyl, ethyl, or methoxyethyl (CH2CH2OCH3), and the second one is the glymes, CH3O(CH2CH2O)(n)CH3, for n up to 10. The phase diagrams, potential windows, conductivities, and the lithium interfacial resistances of the solutions were investigated, often as a function of temperature. The potential use of these solvents for different types of batteries is discussed.