• President Joe Biden told a key ally that he may not be able to stay in the race against former President Donald Trump if he cannot prove he is up to the job, The New York Times first reported.
• The reported conversation with the unnamed ally came amid fallout from Biden's devastating presidential debate with Trump.
• "He knows if he has two more events like that, we're in a different place" by the end of the weekend, said the ally, according to the Times.
• White House spokesman Andrew Bates called the newspaper's report "absolutely false."

President Joe Biden has told a key ally that his reelection campaign against former President Donald Trump may not be recoverable if he cannot quell concerns about his fitness for office in the coming days, The New York Times first reported Wednesday.

The unnamed ally said Biden is still invested in the reelection fight, but he is aware that his upcoming public appearances must go well after his devastating presidential debate with Trump last week.

"He knows if he has two more events like that, we're in a different place" by the end of the weekend, said the ally, according to the Times.

The Times quoted one of Biden's top advisors, also anonymously, who said the president is "well aware of the political challenge he faces."

Later on Wednesday, CNN reported that Biden had acknowledged his perilous position in a similar conversation with an ally. "He sees the moment. He's clear-eyed," that ally told CNN.

It was unclear if the two outlets were reporting the same conversation. CNBC and NBC News have not independently confirmed the reports.

Biden maintained in a call with campaign staff on Wednesday that he is staying in the race.

"Let me say this as clearly as I possibly can, as simply and straightforward as I can: I am running," Biden said, an official on the call told NBC News.

"No one is pushing me out," he said. "I'm not leaving. I'm in this race to the end and we're going to win."

White House press secretary Karine Jean-Pierre affirmed during a briefing Wednesday afternoon that Biden is "absolutely not" considering stepping down.

Biden spokesman Andrew Bates had previously denied the Times' report.

"That claim is absolutely false," Bates wrote on social media site X. "If the New York Times had provided us with more than 7 minutes to comment we would have told them so."

The reported conversations came amid ongoing fallout from Biden's debate performance. The 81-year-old incumbent struggled to articulate his positions and push back against his 78-year-old rival's claims.

Biden's lack of energy and focus in the debate have stoked widespread panic among his allies and donors, a growing number of whom are now mulling whether Biden should withdraw from the race.

Much of this anxious discussion has swirled around whether Vice President Kamala Harris could step into Biden's place as the party's choice.

CNBC reported Wednesday that a group of donors to Harris' previous political campaigns — for president in 2020, Senate in 2016 and state office before that — have begun privately strategizing about how best to position the vice president to swiftly tamp down any competition for the nomination, should Biden drop out.

Though few Democrats have publicly urged Biden to step aside, the president's top political allies in Congress, including Reps. Nancy Pelosi and James Clyburn, have declined to defend Biden's performance, and instead said the debate raised legitimate questions about the president's fitness for four more years in office.

Biden is scheduled to meet with Democratic governors late Wednesday at the White House to reassure them about his ability to continue as the party's presumptive nominee.

The president is also scheduled to sit down for a one-on-one interview with ABC News' George Stephanopoulos on Friday. The interview will not be broadcast live, however. The first clip will air Friday, with an extended interview set to Sunday, ABC announced.