The method employs a servo system for positioning a head laterally to follow lateral motion of a longitudinal tape having longitudinal defined servo track(s), the servo system comprising a servo element configured to sense lateral position of the head with respect to an acquired servo track, a fine actuator configured to translate the head laterally with respect to the longitudinal tape, and a position error signal loop to operate the fine actuator to translate the head laterally to reduce position error. If the servo element is positioned away from the defined servo track(s), a continuous position error offset signal is applied to the fine actuator in a direction towards the defined servo track(s), whereby the fine actuator translates the head in accordance with the continuous position error offset signal; and, in response to the servo system acquiring the defined servo track(s), the continuous position error offset signal is discontinued.