President Biden will respond on Monday night to the Supreme Court’s ruling on immunity for former President Donald J. Trump, White House officials said, his first public remarks since hunkering down at Camp David amid calls from some Democrats to drop out of the 2024 election.

The Supreme Court ruled on Monday that Mr. Trump has significant immunity against prosecution on charges of trying to overturn the 2020 election. A spokesman for the White House Counsel’s Office said earlier that “as President Biden has said, nobody is above the law.”

Mr. Biden’s response to the ruling is likely to signal how his campaign will handle the issue of Mr. Trump’s criminal cases, which have been a central part of the president’s argument for re-election. During a rally on Friday, he cited the numerous court cases against Mr. Trump as proof that he is a “one-man crime wave.”

But the president’s appearance in Cross Hall, the stately venue used for many previous addresses to the nation, will be closely watched for the president’s vigor and mental acuity in the wake of his disastrous debate performance in Atlanta on Thursday.

Mr. Biden’s family and his top aides, along with high-profile allies on Capitol Hill and in governor’s mansions, closed ranks over the weekend, insisting that the debate was a one-day aberration that should not keep the president from running a vigorous re-election campaign.

Top campaign aides were scheduled to field questions and concerns from some of the president’s biggest donors on a conference call on Monday evening. The call with the national finance committee was put together hastily on Sunday in an effort to tamp down panic among donors worried about the future of the campaign.