According to the American-Statesman, Mayfield hadn't contacted the OU coaching staff about his plans.
An Oklahoma source tells ESPN.com that the Sooners have not requested permission from Texas Tech to contact Mayfield. And Oklahoma coach Bob Stoops went on the radio Thursday afternoon and said OU was not pursuing any transfer quarterbacks.
Mayfield announced last week that he would seek a transfer from Texas Tech (7-5), citing a "miscommunication" with the Texas Tech coaching staff in multiple media interviews.
Mayfield had been one of the best stories in college football this season, winning the Texas Tech starting job during the preseason despite being a walk-on true freshman. He started the season opener against SMU, earning Big 12 offensive player of the week honors. He kept the job through the fifth game of the season before suffering a knee injury at Kansas.
Mayfield took the job back from fellow true freshman Davis Webb during Texas Tech's 10th game of the season, against Kansas State. He started the Red Raiders' regular-season finale at Texas, and finished the year with 2,315 yards passing, 12 touchdowns and nine interceptions in eight starts.
Even though Mayfield was a walk-on, NCAA rules state he needs to get a release from Texas Tech to transfer to another school. Mayfield won't be allowed to transfer to another Big 12 school, a source previously told ESPN's Joe Schad.
Texas Tech coach Kliff Kingsbury previously said the Red Raiders intended to put Mayfield on scholarship as soon as one became available after the season.
ESPN.com's Jake Trotter contributed to this report.