A powertrain includes an engine having a crankshaft, a transmission having an input member, and a damper operatively interconnecting the input member and the crankshaft to transmit torque from the crankshaft to the input member. An electric motor/generator is operatively connected to the transmission input member to selectively transmit torque thereto. A damper bypass system is operatively connected to the crankshaft and the input member. The damper bypass system is configured not to transfer torque from the crankshaft to the input member, but transmits torque from the input member to the crankshaft in response to input member torque exceeding crankshaft torque.