Auburn president William Walker later said his meeting with Petrino was a mistake.
Tuberville, speaking during a Monday news conference, said: "Dr. Walker said that he made a mistake. I have no ill feelings toward anybody. We're in this together."
Last year, Tuberville signed a five-year contract extension, but the Tigers concluded a regular season of high expectations at just 7-5.
That led to reports the Tigers were interested in Petrino, a one-time Auburn assistant. Petrino, who replaced John Smith, has guided the Cardinals to an 8-4 record.
Tuberville is 37-24 in five seasons at Auburn and has won at least a share of three Southeastern Conference West Division titles.