Steady State Superconducting Tokamak (SST-1) at the Institute for Plasma Research (IPR) is the first superconducting Tokamak in India and is an `operational device'. Superconducting Magnets System (SCMS) in SST-1 comprises of sixteen Toroidal field (TF) magnets and nine Poloidal Field (PF) magnets employing cable-in-conduit-conductor (CICC) of multi-filamentary high current carrying high field compatible multiply stabilized NbTi/Cu superconducting strands. SST-1 superconducting TF magnets are successfully and regularly operated in a cryo-stable manner being cooled with two-phase (TP) flow helium. The typical operating pressure of the TP helium is1.6 bar (a) and the operating temperature is the corresponding saturation temperature. The SCMS cold mass is nearly thirty two tons and has a typical cool-down time of about 14 days from 300 K down to 4.5 K using helium refrigerator/liquefier (HRL) system of equivalent cooling capacity of 1350 W at 4.5 K. Using the available experimental data from the HRL, we have estimated the vapor quality during the cryo-stable operation of the TF magnets using the well-known correlation of two-phase flow. In this paper, we report the detailed characteristics of two-phase flow for given thermo-hydraulic conditions during long steady state operation of the SST-1 TF magnets as observed in the SST-1 experimental campaigns.Index Terms-Superconducting Magnets System, CICC, Two-phase flow helium, vapor quality I.