The time-to-line-crossing (TLC) concept has been used as a time-related measure to describe driving strategy. The purpose of this research is to analyze whether TLC might enlarge our understanding of the relationship between vehicle handling characteristics and a driver's looking and lateral control strategy in a straight-lane-keeping task. Earlier results indicated that in the case of a normally understeering car, drivers accept occlusion periods that correlate highly with TLC. The present study shows that drivers are well able to maintain this strategy with a more heavily understeering vehicle. However, the adaptation to the characteristics of an oversteering vehicle is far less accurate. Although drivers devote considerable steering and looking effort to control such a vehicle, it appears that this compensation process is insufficient and results in very low TLC levels at high speeds.