Rep. Trey Gowdy Harold (Trey) Watson GowdySunday shows preview: Election integrity dominates as Nov. 3 nears Tim Scott invokes Breonna Taylor, George Floyd in Trump convention speech Sunday shows preview: Republicans gear up for national convention, USPS debate continues in Washington MORE (R-S.C.) could be the next chairman of the House Oversight Committee — if he wants the job.

The popular South Carolina Republican and former Select Committee on Benghazi chairman has emerged as the front-runner to replace Oversight and Government Reform Chairman Jason Chaffetz Jason ChaffetzThe myth of the conservative bestseller Elijah Cummings, Democratic chairman and powerful Trump critic, dies at 68 House Oversight panel demands DeVos turn over personal email records MORE (R-Utah), who made it official Thursday that he would resign from Congress on June 30.

Gowdy, a prominent leadership ally, has been racking up endorsements from colleagues on the Oversight panel and the influential Steering Committee, which will choose the next chairman. The 52-year-old former prosecutor is one of a handful of senior Oversight members who has been calling and texting Steering members about the gavel.

“If Trey runs, he’ll get it,” one Steering Committee member told The Hill.

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But Gowdy’s office said the congressman has made no final decision about whether he’ll run.

“Rep. Gowdy is talking to members in the conference about the qualities they believe are most important for the next Chairman to possess,” said Gowdy spokeswoman Amanda Gonzalez.

At least two other Oversight members — Reps. Dennis Ross (R-Fla.) and Steve Russell (R-Okla.) — have been reaching out to the 32-member Steering panel.

The Oversight Committee is stacked with members of the far-right House Freedom Caucus, and several of them said they favored former Freedom Caucus Chairman Jim Jordan (R-Ohio) to be the next chairman.

Jordan is third in seniority on the Oversight panel behind Reps. John Duncan (R-Tenn.) and former Oversight Chairman Darrell Issa (R-Calif.), neither of whom are making a play for the gavel. Gowdy is eighth in seniority and would need to leapfrog a number of colleagues to win the gavel.

Seniority is considered by the Steering panel, but isn’t the deciding factor: Chaffetz, backed by GOP leaders, beat several more senior colleagues to win the Oversight gavel in late 2014; Rep. Diane Black Diane Lynn BlackBottom line Overnight Health Care: Anti-abortion Democrats take heat from party | More states sue Purdue over opioid epidemic | 1 in 4 in poll say high costs led them to skip medical care Lamar Alexander's exit marks end of an era in evolving Tennessee MORE (R-Tenn.) performed a similar feat on the Budget Committee earlier this year.

Jordan conceded Thursday that it’d be an uphill battle for him to win given that the Steering group is largely comprised of loyalists to Speaker Paul Ryan Paul Davis RyanAt indoor rally, Pence says election runs through Wisconsin Juan Williams: Breaking down the debates Peterson faces fight of his career in deep-red Minnesota district MORE (R-Wis.). Jordan had been one of the Freedom ringleaders who pressured then-Speaker John Boehner John Andrew BoehnerLongtime House parliamentarian to step down Five things we learned from this year's primaries Bad blood between Pelosi, Meadows complicates coronavirus talks MORE (R-Ohio) to resign in 2015, making Jordan persona non grata to some GOP colleagues.

"I love the work on the committee. I think I would have strong support amongst committee members,” Jordan said. “But, I mean, let’s be honest. The process for determining the chairman’s not the makeup of — it’s not a vote of the members on the committee. It’s a vote on the Steering Committee."

“And that process is not always the one that’s most favorable to guys like me who don’t always go along with the establishment,” Jordan added.

The next Oversight chairman will have to negotiate a number of political landmines in the coming months given the series of crises the Trump White House is currently facing. There are now congressional, FBI and Justice Department probes into possible collusion between the Trump campaign and the Russian government during the 2016 campaign.

And just this week, Chaffetz had formally requested memos from recently ousted FBI Director James Comey after The New York Times reported that Comey had documented in a memo that Trump had urged him to drop his investigation into former national security adviser Michael Flynn.

Whereas Gowdy burnished his reputation investigating Clinton and the Obama administration, the Tea Party favorite is now asking himself whether he wants to spend the next four years probing and ferreting waste out of a Republican administration. GOP committee chairmen also are required to raise hundreds of thousands of dollars for the party each cycle.

Gowdy is already the top choice of leadership. Rep. Jason Smith (R-Mo.), who as a member of leadership gets a vote on the Steering panel, told The Hill on Thursday that he’s endorsing Gowdy for the job.

Rep. Mark Walker (R-N.C.), chairman of the 170-member Republican Study Committee, endorsed Gowdy, though he doesn’t serve on the Steering panel.

Gowdy “is the person I want for the job and the person I think will get the job,” Walker told The Hill.

Even Ross, who’s been talking to Steering members about the job, said he would defer to Gowdy if the former Benghazi chairman decided to run. Gowdy made a name for himself as his special committee spent more than two years probing the 2012 terrorist attacks on U.S. facilities in Benghazi, Libya, and Hillary Clinton Hillary Diane Rodham ClintonHillicon Valley: FBI chief says Russia is trying to interfere in election to undermine Biden | Treasury Dept. sanctions Iranian government-backed hackers The Hill's Campaign Report: Arizona shifts towards Biden | Biden prepares for drive-in town hall | New Biden ad targets Latino voters FBI chief says Russia is trying to interfere in election to undermine Biden MORE’s response to that event as secretary of State.

Gowdy’s Benghazi panel created major headaches for Clinton as she ran for president in 2016.

“My first wish is to see that it be Trey Gowdy. Trey is a dear friend. I think he’d be exceptional at it. I think he offers great insight. I think he’s got great experience,” Ross told The Hill.

“And if he chooses not to do it then, yes, I would consider offering myself to do that. But we’ll see how it plays out.”

— Mike Lillis and Cristina Marcos contributed.