Albion Under-21s will face Queens Park Rangers at home in their Premier League Cup quarter-final tie.
The clash will be played at Solihull Moors' Damson Park stadium on Monday, March 31 (ko 7pm).
Richard Beale's Baggies topped Group C to reach the knockout stages of the competition earlier this year.
They went on to defeat Cardiff City on penalties (5-4) following a 1-1 draw in their second round match in South Wales to reach the last eight of the tournament.
