Browns President Mike Holmgren might be out at the end of the football season but he said Monday that he is not looking for a replacement job, especially one as a coach for the Dallas Cowboys.

Holmgren made an appearance at the Cleveland Browns media room to deny rumors speculating that he is pursuing a future with the Cowboys as their coach if Jason Garrett would be fired, according to Sports Illustrated.

"I've always been, quite honestly, bothered by the speculation during the season when coaches are trying to work and they're fighting like crazy for their jobs, and I would never do that," he said. "I would never do that to anybody. I have tremendous respect for obviously Jason Garrett."

He added the following: "I haven't talked to a single soul. That's the first thing. The second thing is I honestly don't know what the future holds or what I want to do. Honestly. Believe me on that."

Holmgren told reporters that the plan is for him to remain with the Browns through the season, and he insisted that he has not inquired about any job with the Cowboys, according to ESPN. However, the report noted that there is still a likelihood that Holmgren will turn to the Cowboys if he decides to make a coaching comeback.

"Holmgrem is a Super Bowl-winning coach...He's going to be very selective if he decides to return to coaching," ESPN noted. "At the age of 64, Holmgren isn't going to consider the likes of Kansas City or another rebuilding team. He'll want to win immediately, and a team like the Cowboys have the talent to do so."

CBS Sports reported on Sunday that sources close to the 64-year-old Browns president said Holmgren would be interested in coaching the Cowboys if the job was available because of "the competitiveness of the roster, the skill players present and his long relationship with owner Jerry Jones." Holmgren and Jones worked together for more than a decade on the NFL's Competition Committee.

The Browns (2-7) play the Cowboys (4-5) on Sunday, Nov. 18 at 1 p.m. ET.

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Dallas cowboys, Cleveland browns