Hill was arrested in late April in connection with an altercation in a bar parking lot. He and Robert Bayardo, who is not an LSU student, were formally charged in Baton Rouge in early July with misdemeanor simple battery.
Hill later pleaded guilty to the charge and admitted to punching a man in the head during the April 27 scuffle. Cellphone video of the fight shows Hill and Bayardo punching the victim.
"Jeremy Hill has a legal entanglement," Miles said at SEC media days Thursday. "At this point in time he remains indefinitely suspended. I have a track record with really disciplining my team. We go through the same process that all of my guys will go through. Frankly, you know, we're gathering information as we go. So he's been separated from his team and teammates for the summer."
Hill, who was already on probation for his January 2012 plea of misdemeanor carnal knowledge of a juvenile, received a six-month suspended sentence on July 12 and two years of probation.
Miles, who has remained quiet about the incident, said Thursday that he and his staff have visited Hill "on a routine basis" but that Hill hasn't been allowed around the team during summer workouts.
"He's not been in any team meetings, not been in any workouts," Miles said. "We've not allowed him in our facility."
"It's been very hard on him, I know. Again, we recognize there's an ongoing process that's going to be fulfilled. We're going to sit on the perimeter and watch. We certainly are respectful of all that have responsibility there."
Senior safety Craig Loston said he had recently spoken to Hill and had encouraged Hill to continue to work out and stay in shape in case he's allowed to return to the team this fall.
"He's doing the right things," Loston said.
Hill led the Tigers with 755 rushing yards and 12 touchdowns in 2012. Hill's playing time increased after starter Alfred Blue went down with a season-ending knee injury.
With the status of Hill's 2013 season unknown, Blue could get a chance to return as the Tigers' starter.
"What happened to Jeremy is terrible and we wish all the best for him, but if Alfred Blue didn't get hurt last year, a lot of people wouldn't know who Jeremy Hill was," senior quarterback Zach Mettenberger said. "Having Alfred back, being a senior, showing what he's capable of doing is going to be something that I'm going to enjoy watching."