Lyons would be replacing Oliver Luck, who announced last month that he was leaving to become the NCAA's vice president of regulatory affairs. Luck had been West Virginia's AD since June 2010.
The Gazette reported that Lyons and his wife met with West Virginia president Gordon Gee on Sunday and that a formal announcement of Lyons' hiring is expected Monday.
A native of Parkersburg, W.Va., and an alumnus of West Virginia, Lyons has held a variety of roles in his professional career, though he's never worked as an athletic director.
Lyons has been in his current role as Alabama's deputy AD and chief operating officer since 2011. Before joining the Crimson Tide, Lyons worked as the associate commissioner of the ACC for 10 years.
Lyons has also worked as an associate athletic director for compliance at Texas Tech, as a membership services representative for the NCAA and as assistant commissioner for compliance and championships for the Big South Conference.
Under Luck's watch, West Virginia joined the Big 12 in 2012 after 22 years in the Big East.
- Ben Estes