We present a lattice quantum chromodynamics determination of the scalar and vector form factors for the B s → D s lν decay over the full physical range of momentum transfer. In conjunction with future experimental data, our results will provide a new method to extract jV cb j, which may elucidate the current tension between exclusive and inclusive determinations of this parameter. Combining the form factor results at nonzero recoil with recent HPQCD results for the B → Dlν form factors, we determine the ratios f