GREEN BAY, Wisconsin (AP) ― The Chicago Bears have a better insurance policy than Aaron Rodgers and the Green Bay Packers.

Josh McCown, playing in place of the injured Jay Cutler, threw for two touchdowns Monday night as the Bears won 27-20 and ended a six-game skid to their NFC North rivals. The loss snapped Green Bay’s four-game winning streak, but the far larger concern is the health of Rodgers, who hurt his left (non-throwing) shoulder when he was sacked on the first series by Shea McClellin.

Rodgers took a few warm-up throws with backup Seneca Wallace but, after being examined by medical staff, ran into the Green Bay locker room. He wasn’t seen again until midway through the third quarter, when he came back onto the field in sweats. Though he waved to fans with his right hand, and didn’t appear to be wearing a brace, he kept his left hand jammed in his pocket.

“He has a shoulder injury,” Packers coach Mike McCarthy said. “They want to run more tests. They don’t have an exact diagnosis. We’ll have more information, probably tomorrow.”

Pressed for more information, McCarthy insisted there wasn’t any.

“No timeline, no exact diagnosis,” he said. “That’s where we’re at.”

Alshon Jeffery had five catches for 60 yards, including a 6-yard grab for the go-ahead touchdown at the end of the third quarter. Brandon Marshall, largely shut down in two games against Green Bay last year, had seven catches for 107 yards and a score. Matt Forte ran for 125 yards and a TD, and also had 54 yards receiving for the Bears, who pulled into a three-way tie for first in the NFC North with Green Bay and Detroit. All are 5-3.

The loss spoiled another big night by Green Bay rookie Eddie Lacy, who ran for 150 yards and a touchdown.