Scott started seven of the 12 games he appeared in for the Bears last season after joining the team during Week 2.
"Looking at Jonathan, he added positively to our group. He helped us win games," general manager Phil Emery said at the NFL combine.
Scott was flagged for just one penalty, gave up just one sack, five quarterback hits and five pressures, according to Pro Football Focus.
Scott may be more of a swing tackle than a starter. Scott has started in 35 of his 70 career games.