Senate Majority Leader Mitch McConnell Addison (Mitch) Mitchell McConnellFEC flags McConnell campaign over suspected accounting errors Poll: 59 percent think president elected in November should name next Supreme Court justice Mark Kelly: Arizona Senate race winner should be sworn in 'promptly' MORE (R-Ky.) will ask John Cornyn John CornynThe Hill's Campaign Report: GOP set to ask SCOTUS to limit mail-in voting Liberal super PAC launches ads targeting vulnerable GOP senators over SCOTUS fight Senate GOP faces pivotal moment on pick for Supreme Court MORE (Texas), the current Senate GOP whip, to stay on his leadership team next year.

Cornyn, 66, is scheduled to step down from his post as the No. 2 Senate Republican leader at the end of 2018 because of term limits.

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His future was uncertain because there was no obvious open leadership position for him to pursue after the election.

McConnell, however, wants to keep Cornyn in the leadership fold.

“I’m going to ask him to stay at the leadership table and continue to play a leadership role. He’s been an invaluable whip and will continue to be that way in the next Congress,” McConnell told The Hill in an interview.

This will give Cornyn a platform to run for Senate majority leader — or minority leader — when McConnell, 76, retires some day from the top-ranking job.

Cornyn has played an important role rounding up votes for key bills, such as the 2017 tax cut, which Republicans are making the centerpiece of their 2018 election strategy.

McConnell hasn’t decided what formal title to give Cornyn, if any, but he wants him at the table when big decisions are under discussion.

“I have some people that sit at the leadership table. He would join that group,” McConnell said.

Four senators currently attend GOP leadership meetings as counselors to the majority leader: Sens. Rob Portman Robert (Rob) Jones PortmanMcConnell locks down key GOP votes in Supreme Court fight Romney undecided on authorizing subpoenas for GOP Obama-era probes Congress needs to prioritize government digital service delivery MORE (R-Ohio), Deb Fischer Debra (Deb) Strobel FischerHillicon Valley: Election officials prepare for new Russian interference battle | 'Markeyverse' of online fans helps take down a Kennedy | GOP senators unveil bill to update tech liability protections Google, Apple, eBay to meet virtually with lawmakers for tech group's annual fly-in Congress botched the CFPB's leadership — here's how to fix it MORE (R-Neb.), Shelley Moore Capito Shelley Wellons Moore CapitoCongress must finish work on popular conservation bill before time runs out Second GOP senator to quarantine after exposure to coronavirus GOP senator to quarantine after coronavirus exposure MORE (R-W.Va.) and Roger Wicker Roger Frederick WickerBottom line Hillicon Valley: DOJ indicts Chinese, Malaysian hackers accused of targeting over 100 organizations | GOP senators raise concerns over Oracle-TikTok deal | QAnon awareness jumps in new poll Shakespeare Theatre Company goes virtual for 'Will on the Hill...or Won't They?' MORE (R-Miss.).

Cornyn told The Hill Wednesday that he has talked with McConnell about staying on in leadership.

“I’ve had a conversation about that and frequently he designates members to sit at the table and continue to offer them and the other leadership, elected leadership, advice,” he said. “I look forward to that if he makes that offer.”

“We’ve had discussions about that and I’m optimistic that would be the case,” he added.

Cornyn helped save the tax-reform package last year by negotiating a deal with Sens. Ron Johnson Ronald (Ron) Harold JohnsonThe Hill's 12:30 Report: Ginsburg lies in repose CHC leaders urge Senate to oppose Chad Wolf nomination Top GOP senators say Hunter Biden's work 'cast a shadow' over Obama Ukraine policy MORE (R-Wis.) and Steve Daines Steven (Steve) David DainesTrump seeks to turn around campaign with Supreme Court fight McConnell locks down key GOP votes in Supreme Court fight Will Republicans' rank hypocrisy hinder their rush to replace Ginsburg? MORE (R-Mont.), two hold-outs, to increase tax relief for so-called pass-through businesses.

Without that agreement, the overall size of the bill may have been reduced by $350 billion to $400 billion.

Cornyn also earned a lot of good will from colleagues by serving two terms as National Republican Senatorial Committee chairman, a grueling job, before becoming the Senate Republican whip.

Members of Senate GOP leadership are term-limited and must step down at the end of the year, but McConnell is not subject to term limits under the rules. He plans to run for another term as Senate GOP leader and for reelection in 2020.

McConnell will surpass former Sen. Bob Dole (R-Kan.) as the longest serving Senate Republican leader on June 12.

The lack of an obvious position for Cornyn next year had stirred speculation about his future.

Cornyn says he would like to succeed McConnell as leader when he decides to retire.

“I haven’t made it a secret that I would be interested in that and he knows that,” he said, referring to McConnell and his job. “But there’s no timetable.”

Cornyn said he does not plan to run for one of the other elected leadership positions or to ask for special permission to leapfrog a more senior colleague to become chairman of a powerful committee.

“I hope to continue to contribute to the conference, but I don’t expect to get any particular favoritism when it comes to the chairmanship position,” he said.

He says committee leadership should be decided as it has been in the past, mainly on the basis of seniority.

Cornyn is now the fourth-ranking member of the Judiciary Committee, sixth-ranking member of the Finance Committee and the eighth-ranking member of the Intelligence panel.

Three other members of McConnell’s team face term limits in their current posts: Senate Republican Conference Chairman John Thune John Randolph ThuneOvernight Defense: Stopgap spending measure awaits Senate vote | Trump nominates former Nunes aide for intelligence community watchdog | Trump extends ban on racial discrimination training to contractors, military Remote work poses state tax challenges Senate GOP sees early Supreme Court vote as political booster shot MORE (S.D.), Republican Policy Committee Chairman John Barrasso John Anthony BarrassoThe conservative case for phasing out hydrofluorocarbons GOP senator attacks Biden: 'I'm not sure what he recalls' Oil and gas is a partner — not an adversary — in meeting our economic and environmental goals MORE (Wyo.) and GOP Conference Vice Chairman Roy Blunt Roy Dean BluntSocial media platforms put muscle into National Voter Registration Day Senate GOP faces pivotal moment on pick for Supreme Court This week: Supreme Court fight over Ginsburg's seat upends Congress's agenda MORE (Mo.).

They are each expected to move up a slot on the leadership ladder without any opposition.

Thune is expected to take Cornyn’s job as whip, Barrasso is expected to slide into Thune’s role as conference chairman and Blunt will take over Barrasso’s job as policy committee chair.

Republican senators say they do not expect any of those promotions to be contested.

Nor do they expect Barrasso or Blunt to attempt to challenge Thune for the whip’s job.

This domino chain will leave only one job open in the elected leadership: Senate Republican vice chairman.

Fischer and Sen. Joni Ernst Joni Kay ErnstThe Hill's Campaign Report: GOP set to ask SCOTUS to limit mail-in voting Liberal super PAC launches ads targeting vulnerable GOP senators over SCOTUS fight Romney backs pre-election Supreme Court vote, paving way for McConnell, Trump MORE (R-Iowa) are both running for the position, the only leadership race to emerge so far.

If either Fischer or Ernst are elected to the post, one of them would be the first woman to hold an elected post in the Senate GOP leadership since Sen. Lisa Murkowski Lisa Ann MurkowskiClub for Growth to spend million in ads for Trump Supreme Court nominee Pebble Mine CEO resigns over secretly recorded comments about government officials Maryland's GOP governor says Republicans shouldn't rush SCOTUS vote before election MORE (R-Alaska) served as vice chairman of the Senate GOP conference from 2009 to 2010.

Both Fischer and Ernst have contacted colleagues to express their interest.

“They’ve actively thrown their hat in the ring,” said one GOP senator.

Spokespeople for Fischer and Ernst did not respond to requests for comment.

Johnson, who narrowly lost a race to Blunt in 2011 to become GOP conference vice chairman, said he’s not interested in running for it again.

Sen. Cory Gardner Cory Scott GardnerCook Political Report shifts Colorado Senate race toward Democrat Overnight Health Care: US coronavirus deaths hit 200,000 | Ginsburg's death puts future of ObamaCare at risk | Federal panel delays vote on initial COVID-19 vaccine distribution The Hill's Campaign Report: GOP set to ask SCOTUS to limit mail-in voting MORE (R-Colo.), the chairman of the National Republican Senatorial Committee, said he’s not interested in running for another leadership position as he faces reelection in a state that voted for Democratic presidential nominee Hillary Clinton Hillary Diane Rodham ClintonDemocratic groups using Bloomberg money to launch M in Spanish language ads in Florida The Hill's Campaign Report: Presidential polls tighten weeks out from Election Day More than 50 Latino faith leaders endorse Biden MORE in 2016.

“I am going to be focused on 2020,” Gardner said.

Of course what is expected to be an orderly process of succession could be upended if Republicans lose control the majority.

If Democrats re-capture the Senate, there’s no guarantee that McConnell would stay on as leader or that other members of his team wouldn’t face challenges from within the GOP conference.