We present 50 nights of polarimetric observations of HD 189733 in B band using the POLISH2 aperture-integrated polarimeter at the Lick Observatory Shane 3-m telescope . This instrument , commissioned in 2011 , is designed to search for Rayleigh scattering from short-period exoplanets due to the polarized nature of scattered light . Since these planets are spatially unresolvable from their host stars , the relative contribution of the planet-to-total system polarization is expected to vary with an amplitude of order 10 parts per million ( ppm ) over the course of the orbit . Non-zero and also variable at the 10 ppm level , the inherent polarization of the Lick 3-m telescope limits the accuracy of our measurements and currently inhibits conclusive detection of scattered light from this exoplanet . However , the amplitude of observed variability conservatively sets a 3 \sigma upper limit to the planet-induced polarization of the system of 58 ppm in B band , which is consistent with a previous upper limit from the POLISH instrument at the Palomar Observatory 5-m telescope ( Wiktorowicz 2009 ) . A physically-motivated Rayleigh scattering model , which includes the depolarizing effects of multiple scattering , is used to conservatively set a 3 \sigma upper limit to the geometric albedo of HD 189733b of A _ { g } < 0.37 . This value is consistent with the value A _ { g } = 0.226 \pm 0.091 derived from occultation observations with HST STIS ( Evans et al . 2013 ) , but it is inconsistent with the large A _ { g } = 0.61 \pm 0.12 albedo reported by Berdyugina et al . ( 2011 ) .