Jesse Marsch's first game as Leeds boss ended in defeat as Harvey Barnes scored the only goal to give Leicester their second Premier League win of the week.
The winger produced Leicester's one moment of attacking quality with a precise angled finish midway through the second half of a game in which they had been largely second best.
It has been a tough and emotional week for Leeds since the departure of Marsch's much-loved predecessor Marcelo Bielsa following a chastening month that saw them concede 20 goals and pick up one point from a possible 15.
But they produced a lively and energetic display at the King Power Stadium that showcased a change of shape and the hard-pressing, direct football preferred by their American boss.
Better finishing from Jack Harrison, Rodrigo, Junior Firpo or Raphinha would have given Leeds a win they so desperately need to ease their relegation concerns.
Having spurned them, they left themselves vulnerable to a decisive moment like the one Barnes produced.
Leicester moved to 10th in the table. Leeds remain two points above the bottom three, having played two games more than 18th-placed Burnley.
Marsch later said: "I have a fresh perspective. I look at the faces on the team and obviously they are disappointed because they know they have played well and deserved a result.
"After four days together and to have changed a lot of the tactics, I am really proud of the group to have stayed so stable at the back, not to have given much away and to have controlled so much of the match.
"I don't like to be screaming from the bench so much, but for me it is a good performance, there was clarity on the pitch and it was a good game from us.
"I understand there is stress, but we have to stay clear and maintain a clear, fresh mindset.
"I saw we had the lion's share of chances and shots, with a bit more calmness we will find goals.
"They are getting to know me, we are getting to know each other. To play so well at a tough place to play it doesn't feel right that we didn't get what we deserved but that is sport. 100% something to build on. A big first step for us."
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