Antiproton scattering off 3 He and 4 He targets is considered at beam energies below 300 MeV within the Glauber-Sitenko approach, utilizing theNN amplitudes of the Jülich model as input. A good agreement with available data on differentialp 4 He cross sections and onp 3 He andp 4 He reaction cross sections is obtained. Predictions for polarized totalp 3 He cross sections are presented, calculated within the single-scattering approximation and including Coulomb-nuclear interference effects. The kinetics of the polarization buildup is discussed.