WASHINGTON—The Trump administration is nearing a deal with Sudan to solve promises in excess of al Qaeda’s 1998 bombings of U.S. embassies in Africa, supporting very clear the way to get rid of Khartoum’s designation as a condition sponsor of terrorism.

The program is aspect of U.S. endeavours to assist the civilian-led transitional governing administration in Sudan, whose armed forces very last year ousted President Omar al-Bashir, a armed forces dictator who seized electricity in 1989. Previously this year, Sudan settled terrorism-linked promises from the 2000 al Qaeda suicide bombing…