Neal Maupay netted after 17 minutes with a tap-in after Alexis Mac Allister and Leandro Trossard combined to open up the Leeds defence.
Graham Potter's side is five points clear of the relegation zone after ending a nine-match winless run in the league.
Elsewhere, West Ham United moved up to eighth place on the table after beating fourth-bottom Burnley 1-0 at London Stadium.
The decisive moment came in the ninth minute when Michail Antonio grabbed his first league goal since October from Pablo Fornals's cross.
