Chelsea's FA Cup fifth-round tie with Manchester City will be live on BBC One on Sunday, 21 February (16:00 GMT).
City boss Manuel Pellegrini said earlier he was worried about the prospect of a Sunday game as they play in the Champions League on 24 February.
The BBC and Football Association tried to find a way to screen the game on Saturday but "conflicting fixtures and safety concerns" made it impossible.
Bournemouth's tie with Everton will be shown on Saturday, 20 February (17:15).
BT Sport will show Arsenal against Hull at 12:15 GMT on the Saturday and Blackburn against either West Ham or Liverpool the following day at 14:00 GMT
They will also screen League One Shrewsbury's home match against Manchester United on Monday, 22 February at 19:45 GMT.
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