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

President TrumpDonald John TrumpTrump rips Dems' demands, impeachment talk: 'Witch Hunt continues!' Nevada Senate passes bill that would give Electoral College votes to winner of national popular vote The Hill's Morning Report - Pelosi remains firm despite new impeachment push 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 PelosiTrump rips Dems' demands, impeachment talk: 'Witch Hunt continues!' The Hill's Morning Report - Pelosi remains firm despite new impeachment push The Memo: Trump allies see impeachment push backfiring on Democrats MORE (D-Calif.) and Senate Minority Leader Charles SchumerCharles (Chuck) Ellis SchumerSchumer wants investigation into Chinese-designed New York subway cars Getting serious about infrastructure Schumer calls on McConnell to hold vote on Equality Act 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 MeadowsChristopher Steele's nugget of fool's gold was easily disproven — but FBI didn't blink an eye Amash storm hits Capitol Hill The Hill's Morning Report - Presented by Pass USMCA Coalition - After GOP infighting, Trump Jr. agrees to testify again MORE (R-N.C.), Treasury Secretary Steven MnuchinSteven Terner MnuchinThe Hill's Morning Report - Pelosi remains firm despite new impeachment push Democrats sense new momentum in Trump tax return fight IRS draft memo found that agency must provide tax returns to Congress: report MORE, U.S. Trade Representative Robert LighthizerRobert (Bob) Emmet LighthizerChinese, US negotiators fine-tuning details of trade agreement: report The Trump economy keeps roaring ahead Trump says no discussion of extending deadline in Chinese trade talks MORE and Office of Management and Budget Director Mick MulvaneyJohn (Mick) Michael MulvaneyThe Hill's Morning Report - Pelosi remains firm despite new impeachment push Congress, White House near deal on spending, debt limit On The Money: Congress, White House aim to include debt limit increase in spending deal | McConnell optimistic budget deal near | Carson defends HUD eviction plan | Senate votes to undo tax hike on Gold Star families 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 PriebusNadler subpoenas Hope Hicks and McGahn's former aide for testimony Mueller didn't want Comey memos released out of fear Trump, others would change stories Forget the spin: Five unrefuted Mueller Report revelations MORE, in July 2017. 

Updated at 12:46 p.m.