Moore was taken to a local hospital for evaluation, and Raiders coach Dennis Allen said X-rays were negative, calling the injury a neck strain. Moore returned to Lambeau Field and was set to fly back to Oakland with the team.
"I don't know what kind of timeline that means, but obviously the most encouraging thing is that Sio's fine," Allen said.
Moore moved his legs back and forth while face down on the field after pursuing running back DuJuan Harris. It appeared Moore might have been hit in the head.
Trainers placed Moore on a board and moved him to the stretcher, where he was immobilized. The second-year player gave a thumbs-up as he was taken off the field while the crowd gave a standing ovation.
For the Packers, defensive lineman B.J. Raji left after the first quarter with an arm injury. He remained on the sideline for much of the game with a black sleeve on his arm. Coach Mike McCarthy said Raji "felt confident" about the injury and told him it wasn't serious.
Moore, 24, was a third-round pick out of Connecticut in 2013. He started 11 games as a rookie and had the inside track over Miles Burris for the job.
Information from ESPN.com's Bill Williamson and Rob Demovsky and The Associated Press was used in this report.