Gleeson was forced off just three minutes into the second half of the 2-0 home win over Swindon on Tuesday night with an ankle injury and the central midfielder will be assessed.
Chris Lines replaced him against the Robins and is likely to do so at Brisbane Road should Gleeson miss out. However, Alan Smith is another option for manager Karl Robinson.
Captain Dean Lewington started for the first time against Swindon since suffering knee ligament damage last month and came through the game unscathed, so he is expected to retain his place at left-back.
Goalkeeper David Martin remains sidelined with the back injury that has kept him out for almost seven weeks.