The visitors came from behind thanks to a second-half Ross McCormack strike.
They did take the lead shortly after, when David McGoldrick picked up a loose ball just outside the box and curled the ball in off the post.
Aaron Cresswell then curled an effort on to the crossbar, before Leeds got back on level terms. McCormack broke forward and scuffed his shot into the path of Luke Varney, who reacted well and fired past the goalkeeper.
Shortly into the second half the away side took the lead thanks to McCormack, who cut in from the left and curled the ball into the goal, although Scott Loach might feel he should have saved the effort.
The hosts continued to push forward as the game came to its conclusion but were unable to find an equaliser.