Calvin Booth of the Denver Nuggets, Trajan Langdon of the Brooklyn Nets and Gersson Rosas of the Houston Rockets have all already interviewed for the job, but Billups will be the final interview on Monday.
Billups has been a studio analyst for ESPN since 2014, expanding his role over the past five years. He signed a multiyear contract to remain with the network in 2017.
His experience playing in the NBA combined with his time analyzing it professionally could allow him to make a successful transition to running a team. On the other hand, the other candidates have more experience working for an organization and seeing that side of the operation.
No matter the hire, Minnesota needs some stability after firing president and coach Tom Thibodeau in January.
The Timberwolves are coming off a disappointing year in which the team finished just 36-46 despite high expectations. After finally reaching the postseason last season, the squad was back in the lottery for the 14th time in 15 years.
The new president will need to help put together a roster that can consistently get into the playoffs and hopefully advance into deeper rounds.