The original encounter was initially scheduled for March 10 but was postponed as Chelsea travelled to Manchester United in their sixth-round tie.
The game finished 2-2 and a replay will take place on Easter Monday, with the victors facing a semi-final date with Manchester City.
The midweek meeting at Craven Cottage was originally due for television coverage but Fulham have confirmed on their website the game will no longer be shown live.
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- Manchester United