Right-back Byram has recovered from the hip injury which has kept him out all season and could replace Lee Peltier, who limped off against Bolton on Saturday with a groin problem.
McDermott has an otherwise fully-fit squad as he prepares for his first return to the Madejski Stadium since he was axed by Reading in March, having guided the club to the Premier League the previous season.
Another former Royal, striker Noel Hunt, will start in attack alongside Luke Varney, who scored the winner against Bolton.
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- Lee Peltier