The marauding Foxes, however, suffered a setback 25 minutes from time when Chilwell was given his marching orders after picking up a second yellow card for a miss-timed challenge on Victor Moses.
Chelsea slipped to a disappointing 0-0 draw in their Premier League fixture against Leicester today and Blues goalkeeper Thibaut Courtois voiced his unhappiness with his own fans when talking to the press afterwards.
"Five clubs are jostling for three Champions League places behind runaway leaders Manchester City, and Chelsea look set to have the busiest schedule over the next few months".
But Leicester held on for the draw which leaves Chelsea on 47 points, the same as second-placed Manchester United, who play on Monday at home to struggling Stoke City.
Leicester had to play the final 22 minutes with 10 men after Ben Chilwell was sent off for two bookings, and their manager Claude Puel felt the incident had denied his side a chance of taking the three points.
"Obviously we all feel a little bit exhausted, past year we went from week to week, but now we have already played a lot of games".
The Australian is concerned that Conte could be suffering from the much dreaded "second season" syndrome, much like former Chelsea boss Carlo Ancelotti did earlier this decade.
Even when flanked by Willian and Pedro after the Italian's tactical change, the striker lacked the imposing swagger and confidence to really get engaged with the game. But it means that we have had many players play two games in four days.
I never see this type of mistake in the Premier League before.
West Brom 2-0 Brighton and Hove Albion West Brom's long wait for a Premier League win finally ended as Brighton were beaten 2-0 at The Hawthorns.
OVER AT SELHURST PARK: Bakary Sako's sixth goal of the season gave Crystal Palace a 1-0 win over Burnley and moved Roy Hodgson's side further away from the relegation strife that once threatened to engulf their season.