Wilfried Zaha scored twice on the South Coast on Monday night to book Ian Holloway's side a Wembley date with Watford in the battle to reach the Premier League.
And with Brighton consigned to another season in the Championship, Poyet's future is likely to come under speculation.
The Uruguayan is under contract until 2016 but has been linked with several other clubs, including most recently Reading before Nigel Adkins was appointed.
Asked about whether he will still be at Brighton next season, Poyet told Sky Sports: "I am under contract so it is a situation I have nothing to talk about, because I am under contract.
"But I need to analyse as well my personal career."
Poyet could also not hide his disappointment at suffering defeat by Palace, who had drawn 0-0 with Brighton in the first leg at Selhurst Park.
"You have a very, very good season - better than expected," said Poyet. "You have done something very good and then, because of this play-off, you go home with a terrible feeling.
"I am really sad. That is the feeling in the dressing room."