He added that "about three or four guys" on the team now have COVID-19 and a small number of players are quarantining.
However, later in the interview while sharing how the team has to make adjustments due to the virus, he shared more information.
"I think most - not all of our players - but most of our players have caught it", Orgeron said Tuesday during a teleconference. I don't know the percentage. I'm not a doctor. Because of this, Orgeron thinks that most of the players who have caught the virus will be eligible to play by the start of the season.
LSU Athletics has not responded to CNN Sports' request for clarification on Orgeron's comments, specifically the number behind the word "most".
LSU is scheduled to open the season at home against Mississippi State on September 26. Not a lot of guys in quarantine. Most recently, it lost several players to opt outs.
Orgeron confirmed several reports that defensive lineman Neil Farrell has made a decision to return to the team.
The 6-foot-4, 319-pound Farrell was a projected starter who had seven tackles for losses and three sacks while leading linemen with 46 tackles last season.
© APWF FILE - LSU nose tackle Tyler Shelvin (72) tackles MS wide receiver Elijah Moore (8) during the second half of an NCAA college football game in Oxford, Miss., Saturday, Nov. 16, 2019.
The defending champion Tigers' defensive line took another hit in late August when Tyler Shelvin opted out, indicating that he was going to turn his attention to preparing for the 2021 National Football League draft.
"We hear rumblings. His family has called me". I have not spoken to Tyler. "We'd take him back obviously". I don't know where he's at in his mind. "If he doesn't come back then we wish him the best". "We want him back".
One other defensive lineman, Nelson Jenkins, has also opted out. Jenkins is a reserve who did not see the field in 2019.