CHICAGO — Chad Henne did all he could to keep the starting quarterback job with the Jacksonville Jaguars. First-round pick Blake Bortles was about as good.

Henne passed for 130 yards and a touchdown, and Bortles threw for 160 in relief before backup quarterback Jordan Palmer rallied the Chicago Bears to a 20-19 preseason victory over the Jaguars on Thursday night.

Palmer, trying to beat out Jimmy Clausen for the No. 2 job, led Chicago to two fourth-quarter touchdowns. Senorise Perry scored on a 5-yard run with 50 seconds left, and C.J. Wilson intercepted a pass to seal the win after Henne and Bortles picked the Bears apart.