According to The Sun, Abramovich has already identified Pochettino as Conte's successor and the Spurs manager is aware of the interest.
Conte has followed up his title-winning season with a dismal second campaign in which Chelsea finished outside of the Champions League places.
Despite finishing third in the Premier League and qualifying automatically for next season's Champions League, Tottenham once again failed to get their hands on a trophy, and the disappointing way in which they succumbed to Juventus in the last 16 of the Champions League points to a squad that needs reinforcing between now and August.
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The Tottenham boss also wants the club to break their wage ceiling to keep star players like Harry Kane and Dele Alli at the club.
Hazard has stated that Chelsea's signings will need to impress him this summer if he is to stay at Stamford Bridge.
Conte, meanwhile, publicly insisted after Chelsea's 3-0 defeat to Newcastle United on the final day of the Premier League season that he is ready to honour his contract, which still has a year left to run.
"I think I have a very clear idea what we need to do; I don't know if the club will be agreeing with me or not".
"I think Daniel is going to listen to me".