The Italian is reportedly unhappy with the level of support afforded at the club during the summer.
And he has grown tired of his level of access to Chelsea owner Roman Abramovich and senior executive Marina Granovskaia, according to the claims.
According to the Sunday Times, Conte seriously considered resigning in the summer, but was prevented by a severe financial penalty clause in his contract.
Conte started his career as Chelsea boss with a sensational first-season Premier League title win.
The former Juventus and Italian national team manager, 48, is known to harbour a special love of his home country.
He was pictured with his wife on a beach in the south of the country reading an English football phrasebook a month ago, during the international break.
The handling of Diego Costa's exile and sale back to Atletico Madrid has also made Conte vulnerable to criticism, with the club reluctant to openly support him during the fiasco. PLACE YOUR TEXT ADVERT BELOW:>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>> How I Made Me =N=2.5 MILLION In 7 Days from 2 Common Product I Imported and how you can do the same. Click HERE FOR FREE Details right now Warning To Men: This 3 Foods Is Killing Your Erection. Click Here To Know Them Secret Fruits that increased my Manhood and makes me last 55 minutes+ all time - Click here to get it Warning: Got Arthritis? 3 Simple Ways To Get Cured And Be Permanently Free From Joint Pains. Click Here To See Them REVEALED!! Reduce Your Blood Sugar Level And Reverse Diabetics Within A Short Period Of Time. Click Here To See How MIDNIGHT,Pressed Mr Kilanko Suddenly Couldn't Urinate. Shrink your Enlarged Prostrate Here! Click Here Now