The Scotland international will sit out the game at the Riverside Stadium after picking up his fifth booking of the season at Nottingham Forest on Tuesday evening.
Manager Tony Mowbray also has a series of injury doubts with central defensive duo Rhys Williams and Matthew Bates having missed the 2-0 defeat at the City Ground with groin and foot injuries respectively.
Both will be assessed ahead of the Rams' visit to Teesside, along with keeper Carl Ikeme and midfielder Kevin Thomson.
Ikeme was unavailable for the Forest game with a hand injury and Thomson suffered a hamstring strain, while Jonathan Franks is continuing his recovery from shoulder surgery.
Middlesbrough last week