WVU sports information director Bryan Messerly told The Daily Athenaeum the school was not prepared to make any announcements as of Monday morning.
A call made to Messerly for further comment was not immediately returned.
The spot on the Mountaineers' staff came open when Jerrod Calhoun accepted a position as head coach at Division II Fairmont (W.Va.) State in April.
Everhart spent six seasons as head coach at Duquesne before he was fired in late March. He compiled a 99-89 record during his time leading the Dukes.
A Fairmont, W.Va., native, Everhart and Huggins have had a long friendship. Everhart has appeared at multiple charity events sponsored by Huggins during the latter's time as head coach at West Virginia.