Oklahoma Sooners coach Bob Stoops has so far resisted the temptation to jump to the NFL. Maybe it's time, and maybe it's with the Cleveland Browns.

Stoops, fresh off the Sooners' stunning upset of Alabama in the Allstate Sugar Bowl, did little to quell rumors he may have the inside track to Cleveland's coaching vacancy.

While making the media rounds Friday, Stoops was asked about any connection to Cleveland, and the Youngstown, Ohio, native was coy with his responses.

"You never know," Stoops told Oklahoma writers.

Pressed on the issue and whether it was speculation, Stoops said, "There's a lot of that."

And is that all?

"Sure," he said.

This isn't the first time Stoops' name has popped up when Cleveland has been looking to hire a coach. His Ohio roots have made him a natural candidate, but the 53-year-old has chosen to stay in the college ranks, keeping the Sooners among the nation's elite programs.

Stoops has a 160-39 record at Oklahoma and became the only coach to win all four BCS bowls -- Sugar, Orange, Rose and Fiesta -- on Thursday night when the Sooners beat the third-ranked Crimson Tide 45-31.

Stoops received a contract extension in July through the 2020 season. He signed a seven-year, $34.5 million deal in 2011.