Carimi and Bennett were hurt in the Week 2 loss at New Orleans, but Spaeth's calf ailment was a new addition to the injury report.
"Don't know how bad it is, he wasn't able to do anything today," Bears coach Lovie Smith said about Spaeth.
"That's exciting," offensive coordinator Mike Martz said of Barber practicing. "He's a power runner. We saw him in the preseason and liked who he was and what he was doing. We are getting some of these guys back. It will help us."
Long snapper Patrick Mannelly was limited with a hip injury.