A method for controlling a hybrid vehicle having an engine includes automatically stopping the engine in response to vehicle power demand dropping below currently available electrical power while trailering, and automatically starting the engine when vehicle power demand is at a first offset below currently available electrical power. A hybrid vehicle includes an engine, an electric machine, a trailer hitch, and a controller configured to, in response to the vehicle trailering, command the engine to start at a torque offset below an unladen vehicle engine torque pull up schedule, where the torque offset is based on vehicle loading. A method for controlling a hybrid vehicle having a trailer hitch includes detecting the trailer hitch being in use, commanding an engine to stop, and commanding the engine to start in response to a torque to accelerate being within a predetermined offset below an unladen vehicle torque pull up schedule.