Using bipolar co-ordinates, an exact solution of Stokes equations is obtained for the translational and rotational velocities of a neutrally buoyant sphere moving in proximity to a single plane wall under the influence of a simple shearing flow. The solution, valid for small shear Reynolds numbers, applies for all ratios of sphere radius to distance of its center from the wall. This formal solution is supplemented by two asymptotic solutions: (i) a lubrication-theory-like approximation applicable to the case where the sphere is very near to the wall; (ii) a “method of reflections” approximation, valid for the opposite case. Agreement with limited experimental data currently available in the literature is shown to be good, though the question of the true, limiting behavior of a sphere “touching” a wall remains unresolved.