The south coast club secured a dramatic 2-1 victory over Nottingham Forest at the City Ground on Monday after Steve Sidwell scored a stoppage-time winner.
Lewis Dunk put the Seagulls ahead on 27 minutes but Forest’s Dexter Blackstock equalised five minutes following the half-time break to set up a rousing finale.
Thrown on with five minutes to play to shore up the Brighton midfield, former Chelsea midfielder Sidwell netted an 91st winner to snatch all three points for the visitors.
Brighton remain third in the Championship but have moved two points behind league leaders Burnley and one off second placed Middlesbrough in the fight to secure a top-flight berth.
With just five games left to play, Hughton says his side are gripped for a tense end to the campaign and believes confidence is sky-high at the Amex Stadium.
"Every game is the same, there is always apprehension whether it is the first game or the last - but this is an exciting period of the season," said Hughton according to BT Sport.
"The players are all excited about what the next game will bring; they are excited about the end to the season and what is to come. We have to embrace that."
Following the full-time whistle, former Tottenham assistant coach Hughton claimed opponents Forest will be upset to take nothing from the match.
He added: “There are no teams in this division who will lie down and they will be disappointed that they have not come out of this game with something, given how they played in the second half.”