The returning Diego Llorente bagged the only goal of the game in the 18th minute when hooking home a finish from close range after a Raphinha corner.
The victory took Leeds out of the drop zone and on to six points after seven games played, three points clear of the bottom three and in 16th place heading into the October international break.
Southampton away is next.
Graham Smyth, the YEP's chief football writer, hands out the scores from Saturday's fixture at Elland Road.
Southampton away is next.