Khari Blasingame was a free agent signing by the Chicago Bears at fullback. He spent his first three seasons with the Tennessee Titans and is now onto his second NFL team. Blasingame will be the starting fullback and has no competition otherwise.
The question with him comes down to what his role will be and how he will be used on offense. Last season, the Bears technically did not have a fullback, using JP Holtz, who was a tight end/fullback.
However, with the new offense, there is a chance that they will be incorporating a fullback into the mix more.
Here are video examples of the Bears playing in the "I-formation", which includes a fullback.