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

President TrumpDonald John TrumpAmash responds to 'Send her back' chants at Trump rally: 'This is how history's worst episodes begin' McConnell: Trump 'on to something' with attacks on Dem congresswomen Trump blasts 'corrupt' Puerto Rico's leaders amid political crisis 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 PelosiSally Yates: Moral fiber of US being 'shredded by unapologetic racism' Al Green calls for additional security for House members after Trump rally #IStandWithPresTrump trends in response to #IStandWithIlhan MORE (D-Calif.) and Senate Minority Leader Charles SchumerCharles (Chuck) Ellis SchumerTop Democrats demand security assessment of Trump properties Lawmakers pay tribute to late Justice Stevens Trump administration denies temporary immigrant status to Venezuelans in US 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 MeadowsLawmakers request documents on DC councilman ethics investigation House Republicans dismissive of Paul Ryan's take on Trump The 27 Republicans who voted with Democrats to block Trump from taking military action against Iran MORE (R-N.C.), Treasury Secretary Steven MnuchinSteven Terner MnuchinMnuchin says White House, Pelosi have deal on top-line budget numbers The Hill's Morning Report - Trump seizes House impeachment vote to rally GOP Administration pushes back on quick budget deal: 'We have a way to go' 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 MulvaneyTrump's new labor chief alarms Democrats, unions The Hill's Morning Report - Presented by JUUL Labs - Trump attack on progressive Dems draws sharp rebuke Acosta out as Trump Labor secretary 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's no racist — he's an equal opportunity offender Press: Acosta, latest to walk the plank Author: Paul Ryan saw retirement as an 'escape hatch' from Trump MORE, in July 2017. 

Updated at 12:46 p.m.