We investigated a method to estimate the degree of driver's awareness of surrounding vehicles based on the correlation between driver's eye-gaze directions and risks of surrounding vehicles. The risks of surrounding vehicles were represented with their time to collision (TTC) to the driver's vehicle. We recorded driving data from five expert and five non-expert drivers while overtaking on expressways using an instrumented vehicle. We manually labeled drivers eye-gaze directions using video of driver face, and detected the positions of surrounding vehicles and calculated TTC using the laser scanners mounted on the front and back of the vehicle. We focused on five-second scenes before right lane changes and calculated the correlation coefficients for each lane change scene of each driver. We found that there were individual differences in eye-gaze behaviors and the expert drivers showed a higher degree of awareness than the non-expert drivers.