The Leeds boss spoke with his Middlesbrough counterpart.
The Clarets beat Evans's side 1-0 at Turf Moor seven days ago to remain top of the Championship, with Scott Arfield's first-minute goal proving enough to down the Whites, who were left in 15th place at the time.
Despite the disparity in league positions, United could, and probably should, have left Burnley with a result after Chris Wood spurned not one, but two glorious chances for the visitors on the day.
It was a case of 'what if' for Evans in the end, but the United manager says that Boro boss Karanka - whose side now sit top of the Championship - was very impressed by the "integrity" which Leeds showed against Sean Dyche's troops.
"I have spoken before about integrity ahead of the game at Burnley, who are at the top end of this league and how we had to have integrity," he said via the Yorkshire Evening Times.
“I spoke to Aitor Karanka who thought we showed that and more when he watched us on television at Burnley and showed that against Birmingham to give respect to Sheffield Wednesday, Cardiff and other teams fighting for the play-offs."
Leeds did, however, bounce back to beat Birmingham 2-1 in midweek, courtesy of a couple of goals from Stuart Dallas. They look to maintain that feel-good factor with the visit of Reading at Elland Road today, though too often this season it's been a case of one step forward and two steps back.