The West Yorkshire outfit returned to winning ways in the Championship with a 2-0 victory over Barnsley away from home at Oakwell on Saturday afternoon.
First-half goals from Samuel Saiz and Ezgjan Alioski proved to be the difference between Barnsley and Leeds.
Middlesbrough were also in action on Saturday afternoon, as they took on Derby County at the Riverside Stadium.
Despite having home advantage, Boro went down 3-0, with Matej Vydra scoring a hat-trick for the Rams.
The results mean that Middlesbrough are now seventh in the Championship table with 29 points from 19 matches, level on points with Leeds United, who are a place behind on goal difference.
Leeds fans have mocked Middlesbrough and manager Monk, who was in charge of the Whites last season and guided them to a seventh-placed finish in the Championship.
Has anyone asked him any awkward questions Adam Pope knows how to trap a nerve lol— Kenneth Roy Brown (@kennybrown1964) 26 November 2017
Acceptable— Jack Killane (@_killane17) 26 November 2017
Good going Monk— Aaron Taylor (@AzzaLufc) 25 November 2017
Boro and Garry Monk doing bitssss— Beth (@BF_lufc) 25 November 2017