The game at St Andrew's will take place on Tuesday, 17th January with a 7.45pm kick-off time.
Elsewhere, the BBC and Sky Sports have announced the two 3rd round replay's that they are to screen live.
The Leeds Utd v Wigan tie at Elland Road on Tuesday, 17th January will be shown live on Sky whilst the Man Utd V Burton Albion replay at Old Trafford will be shown live on BBC the following night.