The asymmetries in the elastic scattering of a particles from a 3He target polarized by the technique of optical pumping have been measured at a center of mass scattering angle near 87° in the energy range 4.5 to 9.1 MeV. The qualitiative behavior of the measured asymmetries agrees with that predicted by one of several sets of phase shifts for 4He + 3He elastic scattering.