Trump: 'No rush' to pick next chief of staff

President TrumpDonald John TrumpTrump's newest Russia adviser, Andrew Peek, leaves post: report Hawley expects McConnell's final impeachment resolution to give White House defense ability to motion to dismiss Trump rips New York City sea wall: 'Costly, foolish' and 'environmentally unfriendly idea' MORE on Tuesday said he would announce his next White House chief of staff in a "week or two," adding he is in "no rush" to choose a successor to John KellyJohn Francis KellyMORE

Speaking to reporters in the Oval Office, Trump pushed back on the notion he is struggling to find a new top aide after his first choice, Nick Ayers, turned down the position. 

"We have a lot of people who want the position," Trump said. 

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His comments came after a heated conversation with House Minority Leader Nancy PelosiNancy PelosiREAD: House impeachment managers' trial brief Desperate Democrats badmouth economy even as it booms Pelosi offers message to Trump on Bill Maher show: 'You are impeached forever' MORE (D-Calif.) and Senate Minority Leader Charles SchumerCharles (Chuck) Ellis SchumerTrump administration installs plaque marking finish of 100 miles of border wall Sanders defends vote against USMCA: 'Not a single damn mention' of climate change Schumer votes against USMCA, citing climate implications MORE (D-N.Y.) over funding for a border wall. They mark the first time Trump has addressed the chief of staff vacancy in person since Ayers's surprise decision over the weekend to not take the job.

The president did not specify who he was considering for the role, other than to say a lot of friends of his want the job, as do "people that Chuck and Nancy know."

Several news reports over the last 24 hours have characterized Trump as scrambling to find an alternative pick. Sources told The Hill that there was no clear plan B after Ayers, who is currently Vice President Pence's chief of staff, said he will leave the administration soon to work for a pro-Trump super PAC. 

Potential candidates for the job that have been reported in recent days include Rep. Mark MeadowsMark Randall MeadowsRepublicans criticize Pelosi for gifting pens used to sign impeachment articles Trump, Democrats set for brawl on Iran war powers Overnight Defense: Iran crisis eases as Trump says Tehran 'standing down' | Dems unconvinced on evidence behind Soleimani strike | House sets Thursday vote on Iran war powers MORE (R-N.C.), Treasury Secretary Steven MnuchinSteven Terner MnuchinSecurity for Trump's Mar-a-Lago visits cost local taxpayers million On The Money — Presented by Wells Fargo — Senate approves Trump trade deal with Canada, Mexico | Senate Dems launch probe into Trump tax law regulations | Trump announces Fed nominees Senate Democrats launch investigation into Trump tax law regulations MORE, U.S. Trade Representative Robert LighthizerRobert (Bob) Emmet LighthizerGOP senator warns quick vote on new NAFTA would be 'huge mistake' Pelosi casts doubt on USMCA deal in 2019 Pelosi sounds hopeful on new NAFTA deal despite tensions with White House MORE and Office of Management and Budget Director Mick MulvaneyJohn (Mick) Michael MulvaneyDemocrats file brief against Trump, 'the Framers' worst nightmare' Parnas pressure grows on Senate GOP Trump trial poses toughest test yet for Roberts MORE

Meadows said on Monday that it would be an "incredible honor" to be chosen as chief of staff, and Bossie appeared on Fox News Tuesday morning and appeared to lay out his credentials for the job.

The other candidates have reportedly indicated they'd prefer to stay in their current roles.

Trump announced on Saturday that Kelly would leave his role as chief of staff at the end of the year, marking the end of a 17-month tenure that was marked by frequent reports of tensions with the president.

Kelly's replacement will become Trump's third chief of staff during his less than two years in the White House. Kelly replaced the president's first top aide, Reince PriebusReinhold (Reince) Richard PriebusFormer Trump staffer suing Trump, campaign over sex discrimination Founder of veterans group says Trump Jr. can join the military if he 'really wants to understand what sacrifice is all about' Mulvaney faces uncertain future after public gaffes MORE, in July 2017. 

Updated at 12:46 p.m.