Sen. Jeff Flake, R-Ariz., on Monday ruled out a possible independent run for his Senate seat, after a report surfaced claiming that he gave a group his blessing to poll him in a three-way general election contest.

"Not gonna happen. I subscribe to the old saw Running as an Independent is the future... and will always be the future," he tweeted, indicating he doesn't think he'll ever run as an Independent."

"I am a conservative and a Republican," he added. "This fever will someday break and we can rebuild our party once more."

The Arizona Republican's tweet comes less than a week after he announced that he will not run for re-election next November, amid poor poll numbers and the likelihood of a bruising campaign fight.

Former State Sen. Kelli Ward is the main Republican in the race now, but others are expected to enter the race, and some could come from the Republican congressional delegation. Reps. Martha McSally, David Schweikert, and Trent Franks have been mentioned as possibilities, while State Treasurer Jeff DeWit, a top supporter of President Trump's campaign last year, is another.

On the Democratic side, Rep. Kyrsten Sinema, D-Ariz., is the likely Democratic nominee and is not expected to face a tough primary contest.