Conte has consistently criticised the club's transfer policy since moving to Stamford Bridge in 2016 and owner Roman Abramovich is said to be lining up Luis Enrique to take over in west London.
The Italian has not been happy with the support he has received in the transfer market and there are also suggestions that the Chelsea board are growing exhausted of Conte complaining about transfers.
As such, several sources throughout England have claimed that the board at Chelsea have begun their search for Conte's replacement, with outlets in Italy this morning ensuring that the Blues have already identified their no.1 target.
"But I'd like to have a statement of support against this speculation".
"I didn't expect to see my name linked with Chelsea but that was the situation".
Speaking at a news conference at Chelsea FC's Cobham training ground on Friday afternoon, Conte said of Emerson: "For me, if a player deserves to play, then he will play".
"In the past this never happened, so it's a big challenge to change the approach now. But, for sure, I'd be glad".
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In 2016, Simpson enjoyed his stop in Scottsdale too, entering the final round in the top-10, ultimately sliding to T14th. For the first time in years, his little buddy, Griffin Connell, was not in the gallery cheering Fowler's every move.
Sources have told ESPN FC that Chelsea have no plans to issue such a statement.
The Italian signed improved terms last summer which doubled his money from £4.5million to £9m a year as a reward for winning the Premier League title.
"Conte only increased my dilemma at the last Europeans [Championship]".
"Now we have to struggle to fight for a Champions League place - that is top".
Chelsea have played 40 games this season - that tally was 28 at this stage previous year - and there had been concerns Conte has not eased the intensity of training.
"From the start of this season there have been a lot of speculation and rumours around me". When you play every three days, it's impossible to give intensity in these two days between one game and another. "Then I saw Conte at work in France and realised you could also choose someone opposite to that description".