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

President TrumpDonald John TrumpDACA recipient claims Trump is holding ‘immigrant youth hostage’ amid quest for wall Lady Gaga blasts Pence as ‘worst representation of what it means to be Christian’ We have a long history of disrespecting Native Americans and denying their humanity 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 Patricia D'Alesandro PelosiDACA recipient claims Trump is holding ‘immigrant youth hostage’ amid quest for wall Fox’s Wallace to Pence: Is government shutdown all about ‘leverage?' Former House Republican: Trump will lose the presidency if he backs away from border security MORE (D-Calif.) and Senate Minority Leader Charles SchumerCharles (Chuck) Ellis SchumerProtecting our judiciary must be a priority in the 116th Congress Baldwin's Trump plays 'Deal or No Deal' with shutdown on 'Saturday Night Live' Sunday shows preview: Shutdown negotiations continue after White House immigration proposal 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 MeadowsOvernight Health Care: Trump vows to veto bills expanding abortion rights | Abortion foes march into divided Washington | Medicaid work requirements approved in Arizona Abortion foes march into divided Washington McCarthy, allies retaliate against Freedom Caucus leader MORE (R-N.C.), Treasury Secretary Steven MnuchinSteven Terner MnuchinOn The Money: Trump teases 'major announcement' Saturday on shutdown | Fight with Dems intensifies | Pelosi accuses Trump of leaking trip to Afghanistan | Mnuchin refuses to testify on shutdown impacts The case for Russia sanctions Treasury issues final rules on key part of Trump's tax law MORE, U.S. Trade Representative Robert LighthizerRobert (Bob) Emmet LighthizerMcConnell urges GOP senators to call Trump about tariffs Companies brace for trade war MORE and Office of Management and Budget Director Mick MulvaneyJohn (Mick) Michael MulvaneyOn The Money: Trump teases 'major announcement' Saturday on shutdown | Fight with Dems intensifies | Pelosi accuses Trump of leaking trip to Afghanistan | Mnuchin refuses to testify on shutdown impacts The Hill's Morning Report — Shutdown fallout — economic distress On The Money: Shutdown Day 26 | Pelosi calls on Trump to delay State of the Union | Cites 'security concerns' | DHS chief says they can handle security | Waters lays out agenda | Senate rejects effort to block Trump on Russia sanctions 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 PriebusTrump Org hires former WH ethics lawyer to deal with congressional probes Trump's national security team is constant source of turnover The Democratic and Anti-democratic parties MORE, in July 2017. 

Updated at 12:46 p.m.