A vehicle differential assembly is provided that includes a differential driven by an input and adapted to allow differing rotational speed between a pair of outputs. The differential includes a gear assembly connected to the outputs and a hydraulically-actuated clutch for selectively and variably coupling the outputs. A hydraulic pump is adapted to generate hydraulic fluid pressure for engagement of the hydraulically-actuated clutch. A variable-engagement clutch is operatively connected to the input and the hydraulic pump such that the input selectively drives the hydraulic pump during engagement of the clutch to provide hydraulic fluid pressure to the hydraulically-actuated clutch. A torque coupling including a variable-engagement clutch is also provided.