Parmley told the FBI he bet on games for years, at a time he was working for the university. He said he had quit before he was promoted to the position of athletic director in January 2012, sources told The Oklahoman.
After his suspension, his attorney said Parmley never bet on any TU games.
Parmley, 39, is not facing any criminal charges but could be a witness in an illegal gambling case pending against Teddy Mitchell, of Oklahoma City.
Mitchell is awaiting trial in federal court in Oklahoma City.
Parmley could not be reached for comment Wednesday. His attorney, Trace Morgan, did not immediately respond to a message left at his office in Stillwater.
After his firing, Parmley worked for a short time as general manager at The Greens Country Club in Oklahoma City.
The university's president said in December that Parmley had revealed in October 2011 that he was cooperating in an FBI investigation. The president indicated that Parmley then denied betting on football.
The president said Parmley on Nov. 27 “admitted he had not been truthful in our 2011 conversation.”