The Whites were beaten 1-0 thanks to a second half goal from Harvey Barnes, but they created a host of chances themselves that they just couldn't convert.
Raphinha came closest with an opportunity from a couple of yards out that Kasper Schmeichel somehow kept out.
Marsch was handed more misfortune late in the game as his final substitute, Tyler Roberts, suffered an injury and was essentially a spectator as he limped around the pitch.
Leeds could be caught by Burnley, who currently head the three teams in the drop zone, this evening if the Clarets manage to pull off a shock win over Chelsea. Everton, the side directly below the Whites, visit Spurs on Monday night.
Marsch was handed more misfortune late in the game as his final substitute, Tyler Roberts, suffered an injury and was essentially a spectator as he limped around the pitch.
7. Mateusz Klich - 7
Covered a lot of ground, got stuck in, disrupted and played some tidy stuff.
8. Jack Harrison - 7
Worked hard, defended well and got stuck in. Created danger but the final ball wasn't always there.
9. Raphinha - 6
Came into it more in the second half but is still playing below his level. Missed a golden chance.
10. Daniel James - 6
Plenty of effort, helped pull Leicester out of shape and linked up well but couldn't provide the end product. Faded from the game.
11. Rodrigo - 6
Some intelligent play, got into good positions but should have done better with chances
12. Joe Gelhardt - 7
Tried to be direct and get at Leicester. Managed to carve out a pair of chances with his footwork and strength.