Striker Barnes sits out the second match of his three-game ban following his red card in the 3-1 defeat to Sheffield Wednesday, while defender Greer and midfielder Crofts are still sidelined with hamstring problems.
The Seagulls expect to have the injured duo back soon but they will not be involved as Gus Poyet's side look to record back-to-back victories.
Spanish midfielder Vincente came off the bench to score the only goal in the win over Hull at the weekend, a result which saw Albion end a run of four games without a win in all competitions.
Will Buckley was also a used substitute against Steve Bruce's side on his return from a hamstring injury, while Bruno completed 73 minutes as he played for the first time this year following an Achilles problem.
Brighton last week