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

President TrumpDonald John TrumpMueller report findings could be a 'good day' for Trump, Dem senator says Trump officials heading to China for trade talks next week Showdown looms over Mueller report 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 PelosiPelosi, Dems plot strategy after end of Mueller probe Coons after Russia probe: House Dems need to use power in 'focused and responsible way' Trump, Congress brace for Mueller findings MORE (D-Calif.) and Senate Minority Leader Charles SchumerCharles (Chuck) Ellis Schumer4 in 5 Americans say they support net neutrality: poll GOP senator: Trump's criticism of McCain 'deplorable' Schumer to introduce bill naming Senate office building after McCain amid Trump uproar 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 MeadowsConservatives wage assault on Mueller report Trump, Congress brace for Mueller findings CNN's Toobin: 'Swirl of suspicion' about more indictments not justified MORE (R-N.C.), Treasury Secretary Steven MnuchinSteven Terner MnuchinTrump officials heading to China for trade talks next week US sanctions Venezuelan bank after Guaidó aide's arrest Treasury expands penalty relief to more taxpayers MORE, U.S. Trade Representative Robert LighthizerRobert (Bob) Emmet LighthizerThe Trump economy keeps roaring ahead Trump says no discussion of extending deadline in Chinese trade talks McConnell urges GOP senators to call Trump about tariffs MORE and Office of Management and Budget Director Mick MulvaneyJohn (Mick) Michael MulvaneyWhite House rejects Dem request for documents on Trump-Putin communications Consumer bureau chief reverses efforts to sideline advisory panels Mulvaney poised to become permanent White House chief of staff: report 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 PriebusMulvaney poised to become permanent White House chief of staff: report DNC decision to shut out Fox News hurts Democratic candidates and Americans The five Trump communications directors who have come and gone MORE, in July 2017. 

Updated at 12:46 p.m.