The Blues have enjoyed a remarkably successful season thus far, and lead the Premier League by 10 points from second-placed Tottenham.
La Repubblica, though, reported on Monday that Conte is pining for a return to Italy, as he misses his family, and is struggling with his relationship with owner Roman Abramovich.
However, Goal can confirm that Conte is happy at Stamford Bridge, and the Italian has repeatedly said in public that he wishes to remain at Chelsea for many years.
Conte’s wife and daughter remain in Italy presently, but the pair will eventually move to England to be with the 47-year-old, with the manager intending to remain in London for the foreseeable future.
Chelsea is Conte’s first job away from Italy, having previously managed five clubs and also the national team in the country, and he has thus far enjoyed a great deal of success.
Chelsea face West Ham United on Monday in their next Premier League fixture.