The Premier League has confirmed dates for the two rescheduled matches.
One of the matches will see Burnley hosting Manchester United on 12 January, while the other will see Manchester City play Aston Villa at the Etihad.
The two matches were postponed at the start of the season due to the Manchester clubs' involvement in the latter stages of European competitions.
Tuesday 12 January
- 20:15 Burnley v Man Utd (Sky Sports)
Wednesday 20 January
- 20:15 Man City v Aston Villa (BT Sport)