Saleh who is expected to be sworn in on Thursday will continue to hold the position of the country’s Vice President.
The retired army general is a former defence, interior and presidential affairs minister.
He will be tasked to forming a new cabinet immediately after he’s sworn in.
The position of Prime Minister was created following an amendment in Sudan’s constitution in December 2016 on the demand of opposition parties. Although Bashir agreed to the proposal, he has reserved most executive power to himself.
Bashir had abolished the Prime Minister post after the coup that brought him to power in 1989.