A torque transmission device (100) includes a variator of a continuously variable unit (CVU) (20) arranged in parallel with a layshaft gearset (30). The CVU (20) includes a first pulley (22) rotatably coupled to a second pulley (24), and the layshaft gearset (30) includes a first gear element (32) meshingly engaged with an intermediate gear element (34) meshingly engaged with a second gear element (36). A transmission input member (12) is rotatably coupled to the first pulley (22) of the CVU (20), and is selectively rotatably coupled to the first gear element (32) of the layshaft gearset (30) by activation of a first clutch (37). A transmission output member (14) is rotatably coupled to the second pulley (24) of the CVU (20) and rotatably coupled to the second gear element (36) of the layshaft gearset (30). The transmission is disposed to operate in a continuously variable mode when the first clutch (37) is disengaged, and to operate in a fixed gear mode when the first clutch (37) is engaged.