The game at either Kenilworth Road or Loftus Road will be played on Saturday, 27th January with a 12.30pm kick-off time.
Elsewhere, the tie between Manchester United and Portsmouth will also be screened live on BBC One at 5.15pm on Saturday 27th January.
On Sunday 28th January, the BBC will be screening the Chelsea v Nottingham Forest tie at 2pm whilst Sky Sports will be screening the Arsenal v Bolton tie at 4pm.