A brilliant move, finished by Maupay, was enough for Brighton to secure their first league win since the 21st of November.
Maupay tapped in his 7th of the season after 17 minutes, following slick build-up from Alexis Mac Allister and Leandro Trossard.
The Seagulls dominated the rest of the first half. Trossard hit the bar whilst Leeds were limited to very few chances.
The second half was a similar story. Leeds grew in confidence a little, but still only had two shots on target during the whole game.
Graham Potter’s side were organised and resolute in defence as Leeds struggled to find their rhythm on a heavy Elland Road pitch.
Brighton had a clear game plan, attacking intelligently at the right times. They often beat Leeds high press, opening them up on several occasions.
Although they were unable to grab a second goal, there were few moments of apprehension at the other end as Potter’s side saw out a deserved victory.
“You can talk about performance, performance, performance but at the end we know we have to get results. We know we have to get points,” said Potter, speaking to BBC Sport.
“We have to believe we are on the right path. We are fighting for each other, which is clear, and we keep moving forward.”
Brighton must now kick after this result and start picking up more points. Worryingly, teams below them are starting to perform.
West Brom beat Wolves in the earlier kick off on Saturday to take them 6 points behind Brighton with a game in hand.
Brighton now have a week without playing and are back in action in the FA Cup fourth round against League One side Blackpool next Saturday, 15:00, kick off.
The Seagulls’ next Premier League match is a massive game at home to Fulham – who are two places below them – on 27 January, 19:30 kick off.