Bears coach John Fox said after the game that Cutler has a pulled hamstring but also acknowledged that the 32-year-old quarterback will undergo further tests.
"Like I mentioned, it takes a while to run tests," Fox said. "Our medical people will inform me, and then I will inform you. But at this point he's got a pulled hamstring."
Fox denied that Cutler injured his right shoulder while trying to tackle Cardinals safety Tony Jefferson, who intercepted a pass intended for Martellus Bennett deep in Chicago territory. Jefferson scored on the play to give the Cardinals a 28-14 lead with 2:59 remaining in the second quarter.
"It's a hamstring [injury]," Fox reiterated.
Cutler completed his first eight passes for 120 yards and one touchdown before the interception. Jimmy Clausen entered the game at quarterback for the Bears on the ensuing possession.
Clausen finished the game 14-of-23 for 121 yards and one interception for a quarterback rating of 56.6.
"Anytime you put a quarterback in the game who has had backup reps during the week, I think it's tough for any position, but particularly for a quarterback," Fox said. "But I think all in all, [Clausen] did the best he could, and that's all you can ask for as a coach."
Durability has been an issue for Cutler, who missed 12 games between 2011 and '13 due to various ailments and sat out Week 16 last season for performance-based reasons.
The Bears travel to Seattle to face the defending NFC champion Seahawks next Sunday.