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

President TrumpDonald John TrumpGOP divided over impeachment trial strategy Official testifies that Bolton had 'one-on-one meeting' with Trump over Ukraine aid Louisiana governor wins re-election 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 PelosiLouisiana governor wins re-election Dynamic scoring: Forward-thinking budgeting practices to grow our economy Pelosi: Trump tweets on Yovanovitch show his 'insecurity as an imposter' MORE (D-Calif.) and Senate Minority Leader Charles SchumerCharles (Chuck) Ellis SchumerOvernight Health Care: Trump officials making changes to drug pricing proposal | House panel advances flavored e-cig ban | Senators press FDA tobacco chief on vaping ban Chad Wolf becomes acting DHS secretary Schumer blocks drug pricing measure during Senate fight, seeking larger action 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 MeadowsDemocrats seize on new evidence in first public impeachment hearing House Republicans call impeachment hearing 'boring,' dismiss Taylor testimony as hearsay Key takeaways from first public impeachment hearing MORE (R-N.C.), Treasury Secretary Steven MnuchinSteven Terner MnuchinTrump to tour Apple factory with Tim Cook on Wednesday The Hill's Morning Report — Public impeachment drama resumes today On The Money: Trump appeals to Supreme Court to keep tax returns from NY prosecutors | Pelosi says deal on new NAFTA 'imminent' | Mnuchin downplays shutdown threat | Trump hits Fed after Walmart boasts strong earnings MORE, U.S. Trade Representative Robert LighthizerRobert (Bob) Emmet LighthizerPelosi sounds hopeful on new NAFTA deal despite tensions with White House On The Money: Economy adds 164K jobs in July | Trump signs two-year budget deal, but border showdown looms | US, EU strike deal on beef exports Chinese, US negotiators fine-tuning details of trade agreement: report MORE and Office of Management and Budget Director Mick MulvaneyJohn (Mick) Michael MulvaneyNew witness claims firsthand account of Trump's push for Ukraine probes Trump files to dismiss lawsuit from Bolton aide on impeachment testimony OMB official to testify in impeachment probe if subpoenaed after others refused 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 PriebusFounder 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 Politicon announces lineup including Comey, Hannity, Priebus MORE, in July 2017. 

Updated at 12:46 p.m.