Those under consideration include such disparate figures as Sheldon Silver, the disgraced former New York Assembly speaker, and the rapper Lil Wayne, who pleaded guilty last month to a gun charge. Rudolph W. Giuliani says he does not expect one, and Stephen K. Bannon’s chances seem to have dimmed. Mixed in among the big names, low-level drug offenders are under consideration.

As President Trump enters the final hours of his term, he has been intently focused on who should benefit from his clemency power. Along with the White House counsel, Pat A. Cipollone, and advisers including Ivanka Trump and Jared Kushner, his daughter and son-in-law, Mr. Trump has spent days sifting through names and recommendations, assembling a list that officials say he intends to disclose on Tuesday, his last full day in office…

Others being considered for clemency include Lil Wayne, a Trump supporter who pleaded guilty last month to having illegally carried a gold-plated .45-caliber Glock handgun and ammunition as a felon while traveling on a private jet last year, according to people briefed on the discussions. He faces a sentence of up to 10 years.