Kolb and Bradley suffered the injuries during the team's loss to the Green Bay Packers on Sunday.
Head coach Andy Reid said that that backup quarterback Michael Vick, who took over for Kolb during the second half on Sunday, will take practice snaps with the first team on Wednesday and Thursday.
There has been no official word yet from the Eagles about Kolb's status. He is listed as day-to-day.
Another round of testing is scheduled for Friday with an independent specialist, as required by NFL regulations.
Andy Reid said during a Wednesday news conference that Bradley is feeling better than Kolb.
Kolb and Bradley did not sit in on any meetings on Wednesday, but did not go home. Reid said the two were rehabbing.
During the game, Kevin Kolb's head was slammed down so hard on a tackle from behind that a chunk of grass got stuck in his helmet. He got up slowly and walked off the field.
The team initially said Kolb had a jaw injury, and the quarterback returned to throw three passes before sitting out the rest of the game with a concussion.
Bradley also briefly returned to the field after being hurt. Footage from the game showed Bradley stumble while trying to get up after being hit.
Earlier this week, Reid defended the decision to send both Kolb and Bradley back onto the field.
"We stuck to the criteria there, and then followed up on it," Reid said Monday. "We didn't just stick (them) out there without having followed the protocol. We also made sure that we stayed on top of it when they came back off the field and made the decision when symptoms were there. I have full trust in the trainers and the doctors and the procedure they admit through."
The Associated Press contributed to this report.