Jones was motionless and had his eyes closed as he exited. His head was strapped down upon being placed on the stretcher.
"We certainly hope Terren is going to be all right," coach Mike Smith said. "We don't have any update right now. But as soon as we do, we'll release that information. Any time a player doesn't leave the field on his own power, you're always concerned about it."
WXIA-TV reported on Twitter that Jones suffered a concussion, according to a family friend, and had been released from the hospital.
Jones tweeted a thumb's up on Sunday evening, apparently signaling to his followers that he was OK.
- Terren Jones (@OTeeJay_) August 4, 2014
Jones, a practice-squad player last year, has been fighting for a reserve role. He arrived at camp a long shot to make the 53-man roster.
Also during practice, rookie defensive lineman Ra'Shede Hageman exited the field and did not return because of what is believed to be a hairline fracture in his wrist, according to a league source. Hageman threw a punch at center Joe Hawley during pass rush drills and received medical attention immediately after the scuffle.
Smith was not happy with Hageman.
"I think we're all talking about competing and fighting for jobs, but we're not talking about fighting each other," Smith said. "We've got to understand that. It's not what we're about. We're about competing and going out and trying to win a job. But we're not about fighting one another. That's something that happens when it gets hot. Today, it was hot -- or, hotter than what we've been used to practicing. But we've got to definitely get that fixed."
Hageman was expected to practice Monday, a league source told ESPN.com's Field Yates.