A nose assembly for a fastener installation tool including an anvil, a collet, and a drawbar having a primary bearing. A secondary bearing is positioned within the collet and located intermediate the primary bearing and jaws of the collet. The secondary bearing is offset from the fastener centerline by a first distance and from a pulling tool centerline axis defined by a longitudinal axis of the drawbar by a second distance. In a pull position, the primary bearing remains engaged with the anvil during a loaded stroke and limits anvil deflection relative to the fastener centerline, while the secondary bearing remains engaged with the collet during the loaded stroke and limits deflection of the collet relative to the fastener centerline. In a return position, the primary bearing remains engaged with the anvil during a return stroke, while the secondary bearing remains engaged with the collet during the return stroke.