Songs from the movie The Open Road starring Jeff bridges. What song did Timberlake and Bridges sing together in car.?

The movie you're referring to is actually "The Last Waltz" starring Jeff Bridges and not "The Open Road".

However, there is no scene in "The Last Waltz" where Timberlake and Bridges sing together in a car. The movie does not feature Justin Timberlake.

It's possible you're thinking of another movie or a scene you saw elsewhere.