With Dolphins wide receiver Kenny Stills making an Instagram appearance on Thursday, Mayfield chimed in with the following hashtag: "#GetMeToMiami."
After an initial spark over social media, Mayfield attempted to douse the flames by citing his ties with his fellow former Sooners player in Stills.
"Just so everybody knows... I commented about playing for Miami because I was talking to a former Sooner in Kenny Stills," Mayfield wrote on Twitter. "Everybody can relax, I will play anywhere that gives me a chance. I'm not picky, I will go anywhere and strive to uplift a franchise and win ball games.
The Dolphins, who own the 11th overall pick in the draft, dealt with quarterback issues after Ryan Tannehill sustained a torn ACL in the summer. Jay Cutler came out of retirement, but Miami failed to find its stride and finished with a 6-10 mark.
Mayfield completed 70.5 percent of his passes and threw for 43 touchdowns and six interceptions this season with Oklahoma.