Imide electrolyte salts have received increasing interest in lithium-sulfur battery (LSB) research due to their oxidation capacity, thermal stability, and cycling stability. Although the ionic conductivity of imide electrolytes is moderate, a LSB with imide electrolyte salts exhibits improved charge-discharge (CD) cycling capacity and Coulombic efficiency. Here, we applied an effective strategy to suppress polysulfide dissolution by using a micelle-structured fluorinated ether-based additive (F4EO2) with lithium bis(trifluorosulfonyl)imide (LiTFSI) and lithium bis(fluorosulfonyl)imide (LiFSI) electrolyte salts. In contrast to the LiFSI electrolyte, the LiTFSI imide electrolyte with F4EO2 additive shows a superior performance in terms of its compatibility with the lithium (Li)-metal anode, electrochemical stability, cycling stability, and high specific discharge capacity of ca. 1331 mAh/g using the sulfur/carbon (S/C) composite//electrolyte//Li-metal battery configuration at 0.1C. The LSB performance is enhanced with an increase of the concentration of the F4EO2 additive in the electrolyte solution. The results demonstrate that the electrolyte solution with the F4EO2 additive and LiTFSI salt improves the LSB performance by suppressing polysulfide dissolution and forming a favorable passivation layer on the Li-metal anode, leading to a specific discharge capacity of ca. 1221 mAh/g after 20 cycles and 950 mAh/g after 100 cycles (for T5FDLiTFSI), respectively, with a Coulombic efficiency of ca. 99.98% and 99.99% after 20 and 100 CD cycles, respectively.