Pat Kavanagh gave Keith Bertschin's side a 1-0 lead when he capitalised on a defensive error on 35 minutes but Leeds substitute Tomi Ameobi levelled for the hosts with just five minutes of the game remaining.
Blues Reserves are now just two points behind league leaders Nottingham Forest but their final three games of the season are all away from home.
Blues Res: Legzdins, Howland, Price, Campion, Pearce, Dicker, Kavanagh, Kilkenny, Forssell, McPike, Birley. Subs: Krysiak, Green, Joyce, Aluko, Burge.
Leeds Utd Res: Knight, Kelly, Foxe, Wilkinson, Elliott, Sa, Einarsson, Carole, Crainey, Howson, Moore. Subs: Bayly, Madden, Gardner, Rothery, Ameobi.