Fulham will miss out on a £265,000 windfall following The Cottagers' FA Cup victory over Everton.
Had Everton won, the BBC planned to show their home clash with Alan Pardew's West Ham at 5.35pm on 14 February.
But police will not allow the fifth-round London derby to be switched to an evening kick-off.
Instead, the Match of the Day cameras - and the live broadcasting fees - will go to Sunderland, who are at home to Birmingham.
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