The contest was settled in the 28th minute by Michael Sollbauer's own goal but Barnsley missed a host of chances, especially in a dominant second half.
The YEP's chief football writer Graham Smyth hands out the scores following a game which has left Leeds on the brink of automatic promotion.
7. Mateusz Klich
6 - Played a nice part in the goal, some nice moments after that but not in the game enough for Leeds.
8. Helder Costa
6 - A couple of dangerous runs aside, couldn't make a telling impact before his game was ended by a crude challenge.
9. Jack Harrison
7 - Looked dangerous when Leeds found him, some great wing play. Unfortunate to be withdrawn.
10. Tyler Roberts
5 - Not in the game, couldn't make an impact, withdrawn at the break.
11. Patrick Bamford
5 - Ran about a lot, chased after things but couldn't impose himself and failed to take a good chance when it presented itself.
12. Pablo Hernandez (sub)
6 - Wasn't at his usual standard, couldn't give Leeds control. Subbed late on and was visibly agitated coming off.