EORT (Eyes-off-road time) as a metric of driver’s readiness to take over driving was investigated, under automated driving condition in curves using a fixed driving simulator. Two experiments were carried out. In first experiment, it was found that drivers tended to reduce EORT, according to the increase of driving task demand characterized by radius of curvature when they were aware of taking over. This trend was same as in manual driving. Time prediction to regain normal steering control by use of EORT metric after the sudden taking over was also experimented. It was found that multiple regression equation including both task demand, and EORT, may predict the time to regain normal steering control. Consequently, it is suggested that both EORT and task demand are to be included in a metric of readiness to estimate time to regain driving control.