Idonije finished second on the Chicago Bears last season with 7.5 sacks in 11 starts.
The 32-year-old versatile defensive lineman has been one of the Bears' most productive pass rushers since becoming a fixture in the starting lineup in 2010, opposite Pro Bowler Julius Peppers.
Idonije lost a little playing time last season to Corey Wootton but because of his versatility, Idonije was able to slide inside to defensive tackle when the Bears switched to their nickel defense.
A nine-year NFL veteran, Idonije has been a member of the Bears for nearly his entire career and is very active in the community. Idonije was one of three finalists for the NFL's Walter Payton Man of the Year Award in 2010.
The Bears re-signed Idonije to a one-year deal worth $2.5 million last offseason. While the Bears have expressed interest in Idonije returning, it's believed he would have to accept less money to remain in Chicago.