The duo have traded barbs over recent weeks, with Conte claiming Mourinho was suffering from amnesia after the Manchester United boss branded some of his contemporaries - without naming any individuals - "clowns" for their antics on the touchline. Or you can expect contempt, silence.
"The first time he insulted me I had a response, a response that I know touched the point where he really feels hurt. Football now is very hard to stay for many years for one club, especially in England now".
The Anfield club resisted three previous offers for the 25-year-old last summer and had wanted to keep their influential playmaker until the end of the season.
Conte was then asked if he was surprised by the speculation surrounding his job, to which he said: "I'm not surprised because we're not talking about my work".
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You can check out the super-high resolution of the screens as well, from all of the power of streaming a 1080p video. As yet it isn't clear when it will be launched although an announcement is expected in the forthcoming weeks.
Mourinho's contract at Old Trafford runs until 2019 and, despite signing a new deal just past year, Conte also only has about 18 months left on his deal at Stamford Bridge. "He's not ready 100 per cent but he could start to help us".
He said: "I have another year of (my) contract with this club. I think in other clubs this doesn't happen".
"I am fully committed in this and I am happy in what I am doing now and what I did in the past".
Under Emery, PSG lost their Ligue 1 title to Monaco last season and suffered a humiliating defeat to Barcelona in the second leg of round of 16 Champions League clash.
But the Manchester United manager does not want to be drawn on his chances of beating Manchester City to a deal, saying it is not "ethical" to talk about another club's player in such a way. "I think that, a lot of times, Mourinho (likes to concentrate on) what is happening at Chelsea".