The Italian tactician has enjoyed an impressive start to life in England and is on course to exceed his season target of a top four finish.
The 47-year-old former Juventus boss is paid £6.5million a year and is only eight months into a three-year deal signed last year.
However, stories circulating in Italy suggest Inter Milan’s wealthy Chinese owners are prepared to offer Conte nearly twice as much, which has prompted the Blues to increase his salary.
Jose Mourinho and Pep Guardiola are the top-earning managers in English football, paid around £15m a year, while Arsène Wenger and Jurgen Klopp are next in the megabucks class with about £7m to £8m.
Conte lags in the pay stakes but he chose a job in the Premier League for the competition, not the money. He rejected an offer of £25m a year to coach in China in order to prove himself in England and he has illuminated the division so far with his charm offensive jubilations.
If Chelsea lift this season’s title, it would be Roman Abramovich’s fifth in 13 years at Stamford Bridge.
Chelsea make a trip to Burnley on Sunday.