Jackson has begun to throw balls again and, according to the Seahawks' official website, did handoffs during the run-drill period of Wednesday's practice.
"The trainers and the doctors are really surprised that he's able to do what he's doing," Carroll told the website. "He's really tough-minded. He's just not wavering with this at all. It's like he's going to handle it.
"Obviously, we want to see him throw," Carroll later added. "He can run. He's fine doing all that stuff. But we'll need to see him throw the football competitively, where he can fire it around like he does."
Notes: Guard Robert Gallery returned to practice for the first time since Week 2. Gallery underwent groin surgery after the Seahawks' 24-0 loss to the Pittsburgh Steelers and hasn't played in a month. ... The Seahawks waived RB Allen Bradford on Wednesday, just five days after grabbing him off waivers from the Tampa Bay Buccaneers, and signed LB Heath Farwell to the active roster.
The Associated Press contributed to this report.