The boss has been vocal that the club is still on the hunt for quality additions in the remaining days of the transfer window – and the Foxes midfielder is reportedly top of the agenda.
So, how would Drinkwater fit in at Chelsea? And what is it that makes him so popular at Leicester City?
We asked James Sharpe from the Leicester Mercury to give us the inside track on Danny Drinkwater:
What is the latest from Leicester’s perspective on Danny Drinkwater’s potential move to Chelsea?
They are trying to keep him. They don’t feel any offer so far is worthy of the disruption losing Drinkwater would cause. They are quite relaxed about it as he has four years left on his contract and therefore would command a sizable fee.
He is a Premier League winner and an England international after all.
I think there is some concern that Drinkwater may be unsettled by the speculation so they are looking forward to the close of the window.
What kind of player would Chelsea be getting?
A very good, all-round midfield player.
Drinkwater is a play-maker in that he likes to get on the ball from deep and get City moving forward. He likes to look for Vardy’s runs early on and put balls into the space behind the opposition defence, but he can also get from box to box well and joins in attacks.
The one area of his game he has admitted needs improving is chipping in with a few more goals.
Would Drinkwater suit Chelsea’s style of football?
Although he plays for a side that likes to counter attack and doesn’t dominate possession, he would be suited in a side like Chelsea that will have plenty of the ball.
He is comfortable receiving possession in tight places and would suit Chelsea’s style.
Does he have what it takes to seal a regular first-team place in Chelsea’s starting XI?
There doesn’t seem to be many options for Conte in midfield, it would seem.
He used David Luiz as a midfielder at Tottenham last week so if Drinkwater does move there I would imagine he would be involved pretty quickly, although he has had a thigh injury and will need time to get his fitness back.
Is Chelsea the right place for him to take his game to the next level?
Not necessarily. He won the title, earned an England call-up and played Champions League at Leicester.
He can still achieve success at the King Power Stadium.
How important was N’Golo Kante to Drinkwater’s form during their time at Leicester?
Kante was important to everyone at City, not just Drinkwater.
He would win the ball back high up the pitch and City would then break quickly while the opposition were in attacking positions. Invariably, Drinkwater would capitalise by delivering the direct ball for Vardy or Mahrez.
To use an American Football analogy, Kante would win the ball and snap it to Drinkwater who would be the quarter back and deliver the pass.
How highly is he rated at Leicester?
Very highly. Although they have options and Matty James, who had kept Drinkwater out of the team until he was injured two season ago, has returned, Drinkwater’s emergence over the past couple of years has impressed everyone at City.