Oliver will be assisted by Tony Horton and Brendan Malone, with West Yorkshire's Jon Moss operating as the fourth official at the New Den.
The Football League has also announced that Select Group official Mark Halsey will be handling the second leg at Elland Road on May 14.
Halsey had already taken charge of two games at Elland Road this season, the 2-1 defeat to Huddersfield Town and the 1-1 draw against Leicester City, Simon Grayson's first game as boss.