 Former Speaker of the House Nancy Pelosi is telling House Democrats President Biden may soon be persuaded to exit the 2024 race. More from Mark Mayfield. On Thursday, the Washington Post said that Pelosi has been talking with Biden's inner circle about low poll numbers. Pelosi is thought to be Biden's closest ally. On the same day, the New York Times reported that Biden has begun to accept the idea that he may not be able to win in November and may have to drop out of the race. Michael Kastner, NBC News Radio.