The cornerback started all 16 regular season games for the NFC North side, making 49 tackles, four interceptions and three forced fumbles.
Emery told the team's website: "When they were trying to put receivers in the end zone on him, his ability to match and mirror an opponent, to shadow an opponent and keep the quarterback from throwing to the best receiver was very impressive to me.
"[Jennings] has been a big part of our defense since he's been here. He started the season out making plays. We had some injuries, we didn't have as good a rush.
"That forced everybody in the secondary to play a different style, and with the injury to Charles Tillman, that put a lot on Tim to handle the number one receiver, and I thought he did well. He had an excellent season."
The Bears missed out on a place in the playoffs, finishing 2013 with an 8-8 record.