Abstract : Accreting neutron stars in low-mass X-ray binaries (LMXBs) are candidate persistent gravitational wave (GW) sources, which may be detectable with next generation interferometers such as Advanced LIGO/VIRGO within this decade. However, the kind of searches possible will likely be limited principally by the uncertainty in the binary system parameters. I will present the revised binary system parameters for Sco X-1 and Cyg X-2 based on the 13-year and 45-year baseline, respectively. I will also present the estimates of the likely precision of the parameters that can be achieved throughout Advanced LIGO/VIRGO period and quantify the improvement in search sensitivity via the number of templates (models).