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.
Jared Allen made his first appearance for Chicago after signing in the offseason and finished with one tackle for a loss on an otherwise quiet night. The five-time Pro Bowl defensive end sat out last week's opening win over Philadelphia after he missed practices because his wife had a baby.
Henne showed mobility in the pocket and completed 12 of 17 passes before leaving with a 13-7 lead in the second quarter.
"We feel very strongly about Chad," coach Gus Bradley said.
But he also plans to give Bortles some snaps with the first team, possibly in the coming week.
The rookie looked sharp again after an impressive showing last week in a victory over Tampa Bay. The No. 3 pick in the draft, Bortles went 11 for 17, but the Jaguars came away with the loss.
Clausen got the first call after Cutler left the game, with Palmer serving as the second man in relief in a flip from the preseason opener. But Clausen struggled through some headset problems after a strong performance last week.
The former Notre Dame star and Carolina Panthers quarterback went 11 of 15 for 94 yards. He also had a pass intercepted by Josh Evans early in the third quarter off linebacker Telvin Smith's deflection after the headset went out on him.
"There were three to five plays where it just became confusion and he really didn't get us into the best plays," coach Marc Trestman said. "He was trying to make something good out of a bad situation, and there wasn't any way I could help him. That group of I would say up to a half a dozen plays when Jimmy was in there, it was very difficult to evaluate."
Palmer started the fourth quarter and threw for 73 yards, completing 6 of 9 passes.
"This is a competition and coaches have done a phenomenal job of making it very fair, evaluating us every day and so when you get to the preseason, you wait until your turn and then you go in there and try to make the most of it," Palmer said.
Martellus Bennett had a 25-yard catch after being suspended by the team last week for an altercation in practice with cornerback Kyle Fuller, who left this game after injuring his ankle on the opening possession.
The Jaguars scored on all three first-quarter possessions while grabbing a 13-0 lead, with Josh Scobee kicking a pair of field goals and Henne hitting Lee with a 6-yard touchdown pass. The TD came after Chicago's Eric Weems fumbled away a kickoff.
The Bears cut it to 13-7 early in the second quarter, when Cutler hit Marshall with a 4-yarder to cap a 10-play drive. But a 43-yard field goal by Scobee late in the half made it 16-7.
"Definitely the first couple of drives we wanted to get the tempo going," Henne said. "The way we did that was first and second down. We moved the chains and got some explosive plays out of it as well."
Trestman said he has no issue with Marshall serving as an analyst for Showtime's "Inside the NFL" show. "I trust Brandon," he said. "He asked me about it. I trust him to make a decision that was in the best interest of the team first, and I know Brandon. I know he'll do that." ... Trestman had few details on CB Kyle Fuller (ankle) and backup TE Zach Miller (foot) after they left the game with injuries. He did say the bruised knee that kept DE Willie Young out of the game is not serious. ... Jaguars RT Austin Pasztor (broken hand) and backup C Luke Bowanko (sprained ankle) left the game.
With all six draft picks signed, the Falcons are the first NFL team to have its entire 2016 class under contract.
The Rams bolstered their roster by signing 19 undrafted free agents, including Ian Seau -- the nephew of Hall of Fame linebacker Junior Seau.
Cornerback Brandon Williams didn't see his daughters, now 7 and 2, much during college, but hopes being drafted by the Cardinals means a change there.
The Jaguars signed both of their sixth-round draft picks on Thursday to four-year deals worth about $2.4 million each.
The Philadelphia Eagles announced Thursday that they have agreed to terms with 16 undrafted rookie free agents.
Former Auburn OT Shon Coleman joins The Paul Finebaum Show to discuss overcoming his battle with cancer and being drafted by the Cleveland Browns.