The sides played out a 2-2 draw at the Hawthorns in January as Martin Paterson grabbed a late equaliser for Burnley.
The Clarets now have home advantage for the replay, with the winner set to travel to either Cardiff or Arsenal in the next round.
Burnley beat Charlton in their last Championship match but have been inconsistent of late and are no longer in the play-off zone.
Manager Owen Coyle will be without on-loan Middlesbrough defender Rhys Williams for the clash at Turf Moor.
The 20-year-old, who has joined Burnley until the summer and made his debut against Charlton, is not eligible to face the Baggies.
Left-back Stephen Jordan will again be missing due to a knee ligament injury while Coyle will also check on a couple of minor knocks.
However, he has no other serious concerns as his men go in search of their fourth Premier League scalp of the season.
Injury worriesWest Brom may have an eye on Saturday's crucial Premier League match at home to Newcastle as they continue to fight for top-flight survival.
But they will also be keen to progress in the FA Cup and Tony Mowbray must decide whether to gamble on a number of his injured players.
Central defenders Abdoulaye Meite and Ryan Donk are both struggling with groin problems while Borja Valero (hamstring) and Robert Koren (calf) are also doubtful.
The quartet have added to an already large casualty list at West Brom which includes Leon Barnett, Jonas Olsson, Neil Clement, Jonathan Greening, Luke Moore, Craig Beattie and Ishmael Miller.