Jones made the comments after the Packers 55-14 thrashing of the Bears on Sunday night.
"We believe in Aaron,” Jones said. “That’s what separates us from the Bears. I feel like the Bears really don’t believe in Cutler."
Jones had missed the past three games with an ankle injury but returned against the Bears, recording one tackle.
Cutler was 22-of-37 for 272 yards with one touchdown and two interceptions, one of which was returned 82 yards for a touchdown by cornerback Casey Hayward after the ball bounced off a teammate's helmet. Cutler was also sacked three times and has a 1-11 record in games against Green Bay in his career.
Cutler’s counterpart, Aaron Rodgers, tied an NFL record with six touchdown passes in the first half. He completed 18 of his 27 pass attempts for 315 yards.
The Bears gave Cutler a new seven-year deal, worth a reported $126 million, in January. He will make $54 million over the next three seasons.
The Bears (3-6) have lost three straight and five of their last six games. They play division rival Minnesota on Sunday, while the Packers take on the Philadelphia Eagles (6-2).
Chicago is in last place in the NFC North, while the Packers are in second place behind the Detroit Lions.
- Scooby Axson