The Bears released Jay Cutler on March 9, hours after finalizing a three-year contract for former Buccaneers quarterback Mike Glennon.
Connor Shaw, who spent his first two seasons with the Browns before joining the Bears last year, is the only other quarterback on the roster.
The Bears will soon add a third veteran as Mark Sanchez is finalizing a deal to join the Bears on a one-year contract, NFL Media reported Thursday.
Sanchez was the fifth overall pick in the 2009 NFL Draft by the Jets and spent his first five seasons in New York. He took the Jets to the playoffs in his first two seasons, but a shoulder injury in 2013 ended his time with the Jets.
He spent the next two seasons with the Jets before having stints with the Broncos and Cowboys last year. The Cowboys added Sanchez as a backup to rookie Dak Prescott last year following the preseason back injury to Tony Romo. Sanchez will be able to compete for a starting job in Chicago, though the job seems to belong to Glennon.
Sanchez appeared in two games last season, completing 10 of 18 passes for 93 yards, but with two interceptions. He has a career completion percentage of just 56.7 percent and has thrown for 15,219 yards with 86 touchdowns and 86 interceptions.
The Bears could also select a quarterback in next month's draft and probably will, though it's unlikely they'd take one with the third overall pick with many other needs.