The High Altitude Water Cherenkov (HAWC) Observatory detected significant TeV gamma-ray emission from the jets of a microquasar, SS 433, in 2018. The gamma-ray emission from the powerful jets can reach up to a few tens of TeV, but the spectral studies at these energies have not been carried out. Compared to the east jet lobe, the west jet lobe is more challenging to analyze due to a higher level of contamination from nearby MGRO J1908+06 and the Galactic plane. With the most up-to-date HAWC data, the west jet lobe has over 8 sigma pre-trial significance. In this work, we use $\sim1,922$ days of HAWC data to model the source confused region around the SS 433 west jet lobe and study its spectrum between 1 and over 200 TeV.