Auburn dismissed Rice from the team as a freshman after a woman said he raped her. In April 2017, a Lee County grand jury declined to indict Rice on the charge.
Defense attorneys said the grand jury decided there wasn't sufficient evidence.
Rice, a former four-star recruit, never played in a game for the Tigers.
Jacksonville State said in a statement Tuesday the university "conducted a very thorough investigation" before admitting Rice, speaking with Auburn officials and the player.
Sanctions against Rice stemming from Auburn's Title IX investigation expired on Sept. 26, 2017. Jacksonville State released a memo from Auburn Title IX Coordinator Kelley Taylor saying the matter was closed for the university.
The AP does not generally name alleged victims in sexual assault cases.