Patrick Bamford's 16th goal of the season and a first Premier League strike from Tyler Roberts ensured that Marcelo Bielsa's Whites recorded a third consecutive victory for the second time this season.
The win put Leeds on to 56 points for the campaign and Graham Smyth, the YEP's chief football writer, hands out the scores from the display at St Mary's.
7. Gjanni Alioski
6 - Better after the break than before but still wasn't quite at the level he can produce. More effective as the game became stretched.
Photo by Laurence Griffiths/Getty Images.
8. Raphinha
7 - Like others, a poor first half and a much better second half. Showed how dangerous he is on the break with Saints looking for an equaliser.
Photo by Catherine Ivill/Getty Images.
9. Jack Harrison
7 - A similar story to Raphinha but his execution in the final third wasn't quite as good. Made all the lung-bursting runs we're used to seeing, involved a lot.
Photo by Laurence Griffiths/Getty Images.
10. Rodrigo
8 - Ending the season on a high. Struggled to get into it in the first half but produced some beautiful passes to make chances in the second. Assisted Bamford's goal.
Photo by Phil Noble - Pool/Getty Images.
11. Patrick Bamford
8 - Kept going. Always making runs off the shoulder. Should have had a penalty, deserved his goal and played nice stuff in the second half.
Photo by Mike Egerton - Pool/Getty Images.
12. Tyler Roberts (sub)
8 - A lovely cameo. Looked to have wasted a good chance but showed real composure to get his goal. Played a few nice passes, threw himself into defensive work. Photo by Laurence Griffiths/Getty Images.