The Sky Sports News reporter has taken to Twitter to claim that the midfielder is one of the players the Blues are keeping tabs on as Antonio Conte prepares for his second season in charge at the club.
Chelsea are still believed to be on the lookout for further reinforcements this summer after they opted to sell Nemanja Matic to Manchester United on Monday.
However, although Solhekol claims that the Blues are interested in signing, the reporter also says that Leicester have no intention of selling the 27-year-old this summer.
Solhekol wrote on Twitter: “Chelsea interested in signing Danny Drinkwater from Leicester City. He’s one of midfielders they’re looking at. Drinkwater is not for sale.”
Chelsea have made four signings so far this summer as Conte gears his team up for a return to the Champions League next season.
The west London side won the Premier League title last term but missed out on the FA Cup when they were beaten 2-1 by Arsenal in the final at Wembley back in May.
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