Lenadro Trossard, Adam Webster and Dan Burn all scored for the Seagulls, in an enthralling contest that saw Portugal international Joao Cancelo sent off for the visitors after just ten minutes.
The result leaves Graham Potter's side 15th in the table, and could move as high as 13th on the final day of the season this weekend when they travel to take on mid-table side Arsenal at the Emirates Stadium.
Speaking after the game, the Seagulls boss lauded Burn for scoring the 76th minute winner, and claimed: “I don't rule anything out with Dan to be honest. He is that type of character, that type of player. I am so pleased for him.
“I have spoke about him before many times about his attitude and professionalism and what he gives to the team is so important. Sometimes people don't see it but he is such an important player for us in the dressing room and as a person.
“Nice for him to get that goal. I couldn't really see how it finished up but it was nice to see it hit the back of the net.”
Here are today's biggest transfer stories and the latest team news involving Brighton & Hove Albion and the rest of the Premier League, as the build-up to this weekend's action begins:
1. Arsenal loans star hints at stay
Arsenal loanee Martin Odegaard has claimed he's "happy" at the club, but is yet to discover Real Madrid's plans for him. Reports earlier in the year suggested Los Blancos would demand a hefty £52m for the Norway skipper. (Football London)
Photo: Dan Mullan
2. Mourinho could swoop for Hojbjerg
Incoming Roma boss Jose Mourinho is believed to be plotting a move to bring Emile Hojbjerg in from his former club Spurs. Mourinho signed the combative midfielder from Southampton for £15m last summer. (Football Insider)
Photo: CLIVE BRUNSKILL
3. Dyche among favourites for Palace job
Burnley boss Sean Dyche is among the favourites to become the next Crystal Palace, alongside Frank Lampard and Swansea's Steve Cooper. However, the Clarets manager is set for contract talks with his current club at the end of the season. (Oddschecker)
Photo: MARTIN RICKETT
4. Magpies favourites to land the Ox
Newcastle United have been named as the bookies' favourites to sign Liverpool's £35m midfielder Alex Oxlade-Chamberlain this summer, with Southampton and Aston Villa also among the runners and riders. (SkyBet)