Sen. Jeff Flake Jeffrey (Jeff) Lane FlakeJeff Flake: Republicans 'should hold the same position' on SCOTUS vacancy as 2016 Republican former Michigan governor says he's voting for Biden Maybe they just don't like cowboys: The president is successful, some just don't like his style MORE (R-Ariz.) on Tuesday vowed to stay involved in politics after he leaves the Senate in January, but that he doesn't yet know "at what level or in what way."

"I’m not leaving the Senate because I’m not tied to this institution or ‘pox on all your houses,'" Flake said at The Atlantic Festival in Washington, D.C. "It’s a wonderful institution with wonderful people."

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"I simply couldn’t run the kind of campaign that I felt I needed to run in this environment and succeed," he said. "That’s the bottom line. But I will stay involved, certainly. I don’t know at what level or in what way but this is important."

Flake announced last year that he would not run for reelection amid an ongoing clash with President Trump Donald John TrumpOmar fires back at Trump over rally remarks: 'This is my country' Pelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Trump mocks Biden appearance, mask use ahead of first debate MORE. The Arizona senator rankled members of the GOP with his ongoing attacks on the president, whom he has accused of leading the Republican Party astray.

Flake played a pivotal role as a swing vote in the controversy surrounding Supreme Court nominee Brett Kavanaugh's nomination, which has been roiled by multiple allegations of sexual assault.

Last week, Flake forced Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellPelosi: Trump hurrying to fill SCOTUS seat so he can repeal ObamaCare Senate GOP aims to confirm Trump court pick by Oct. 29: report Trump argues full Supreme Court needed to settle potential election disputes MORE's (R-Ky.) hand by announcing he would vote "no" on Kavanaugh unless the FBI investigated the allegations of sexual misconduct leveled against the high court pick.

The White House subsequently opened up a one-week FBI investigation, which is ongoing. Flake told CNN on Tuesday that his vote will depend on the results of that inquiry.

Flake during CBS's "60 Minutes" over the weekend said that he would not have called for the FBI investigation if he were running for reelection.

"There’s no value to reaching across the aisle," he said during the "60 Minutes" interview. "There’s no currency for that anymore. There’s no incentive."

Flake has not ruled out the possibility of launching a challenge to Trump during the 2020 presidential election. He has said he would run as a Republican rather than a third-party candidate because he "can't imagine doing anything else."

The Arizona senator will visit New Hampshire next month, his second visit to the state this year. New Hampshire is a traditional destination for possible presidential candidates, as it is the nation's first presidential primary state and second contest after the Iowa caucuses.