The Seagulls face Wycombe in their first-round replay but will be without defender Gavin Hoyte.
The player is set to extend his loan spell from Arsenal until the New Year but is serving the second game of a three-match suspension for kicking out at Jon-Paul Pittman in the original 4-4 draw against the Chairboys.
Fellow loanee Arron Davies will also be missing as parent club Nottingham Forest have requested he does not play.
However, Poyet can welcome Kevin McLeod back from an ankle knock which he sustained playing for the reserves last week.
The Uruguayan has been given further good news as Jim McNulty should resume training next week as he steps up his recovery from an ankle injury.