But Freeze didn't say if Sawyer would miss playing time, adding during Monday's weekly press conference that any discipline would be handled internally.
"Young kids make mistakes, they do, and he's one of the finest kids on our team," Freeze said. "But he made a mistake and there will be consequences. We'll deal with it like we do all the other ones."
Lafayette County jail records state that Sawyer was arrested by a university police officer at 2 a.m. on Sunday and released five hours later after posting bail. The university police department declined to release further details.
Freeze said he had been out of town at a speaking engagement, but received a message and text from Sawyer, who was "very emotional and disappointed in himself."
The senior was a third team All-Southeastern Conference preseason selection, but has not played much this season because of a lingering shoulder injury.
Sawyer is one of the few veterans on defense as No. 25 Ole Miss (2-0) prepares to face Texas (1-1) on Saturday in Austin, Texas.