President Trump Donald John TrumpObama calls on Senate not to fill Ginsburg's vacancy until after election Planned Parenthood: 'The fate of our rights' depends on Ginsburg replacement Progressive group to spend M in ad campaign on Supreme Court vacancy MORE reportedly called former White House chief of staff Reince Priebus Reinhold (Reince) Richard PriebusLeaked audio shows Trump touted low Black voter turnout in 2016: report Meadows joins White House facing reelection challenges Trump names Mark Meadows as new chief of staff MORE to complain about the job performance of his successor, John Kelly John Francis KellyMORE.

The New York Times on Thursday cited people close to the president as saying that Trump phoned several people, including Priebus, to complain about Kelly's performance.

The call comes as the chief of staff finds himself at the center of criticism over the White House response to allegations of domestic abuse leveled against White House staff secretary Rob Porter, who resigned this week.

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Kelly initially defended Porter in a Daily Mail story that revealed allegations that Porter physically and emotionally abused his two ex-wives. The White House chief of staff issued a second statement Wednesday saying he was "shocked" by the allegations.

“I was shocked by the new allegations released today against Rob Porter,” Kelly said. “There is no place for domestic violence in our society.” But he added: “I stand by my previous comments of the Rob Porter that I have come to know since becoming chief of staff and believe every individual deserves the right to defend their reputation.”

Trump has recently asked advisers their thoughts about Mick Mulvaney Mick MulvaneyMick Mulvaney to start hedge fund Fauci says positive White House task force reports don't always match what he hears on the ground Bottom line MORE, the White House budget director, possibly serving as chief of staff, two sources told the Times. Mulvaney currently also serves as head of the Consumer Financial Protection Bureau.

Kelly's initial support for Porter has been criticized by lawmakers on both sides of the aisle, including Republican Sen. John Kennedy John Neely KennedyMORE (La.), who said Thursday that Kelly made a "bad decision."

“I think Gen. Kelly has done an extraordinary job as chief of staff to President Trump. I think he’s a good man, and sometimes good people make bad decisions,” Kennedy said.

Porter denied the claims in a statement announcing his resignation from the White House on Wednesday, calling them part of a "coordinated smear campaign."

"These outrageous allegations are simply false," he said.