At the King Power Stadium, Slavisa Jokanovic's team continued their fine form as they defeatedLeicester City.
The Cottagers won their third match in a row in the 17th minute when the forward chested down Willian's cross and scored.
Youri Tielemans hit an 80th minute effort against the bar.
Ayoze Perez went close for the Foxes, failing to convert a Tielemans cross, while the Cottagers' keeper denied Harvey Barnes.
The boos from the crowd at the full-time whistle did not deter them from falling to a third defeat in a row.
They now have 28 points in seventh place, and a spot in the conference league.
They went down with 26 points in the last two seasons of the league.
Marco Silva's men felt like a thing of the past after Willian's curling shot gave them the lead.
The Brazilian set up the Serbian, whose opener was his second goal in three games and 11th of the season, to equal his season's best.
A yellow card for a foul on Barnes in the 78th minute will rule him out of the next league match for the Cottagers.
Harry Wilson's shot was one-on-one with Danny Ward, but he missed the target.
Even if they were unfortunate in their loss toLiverpool last time out, the form of the team has been dull.
After going behind, the Foxes grew into the match and had good chances before the half.
Barnes was denied in the second half by Leno when through on goal, while Tielemans and Perez were also denied.
It was the first time since 1983 that the home team didn't score a goal.
Kiernan Dewsbury-Hall and Boubakary Soumare were both injured in the warm-up and had to be replaced.
The third round of the FA Cup is on Saturday with both sides playing.
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