The University of Arkansas says Jessica Dorrell is still an employee.
Attorneys say the university could face questions about Dorrell's hiring process.
Labor law experts also say if the university fires her, it could face a sexual harassment claim.
Petrinos cell phone records have been released.
They show he and Dorrell spoke almost 300 times and shared 4,300 text messages between September 2011 and April 5, 2012.
Petrino was fired this week after lying about circumstances surrounding his motorcycle crash.
He never told the athletics director that Dorrell was also on the bike.