A pump drive for a vehicle transmission pump. A transmission input torque member is operable to carry prime mover torque. A source of pump torque includes a pump input torque member circumscribing the transmission input torque member to apply torque to the transmission pump. An overrunning clutch is interposed between the pump input torque member and the transmission input torque member to carry the prime mover torque from the transmission input torque member to the pump torque output member.