The Bournemouth striker has been in solid form so far this season, scoring nine goals and making five assists in 20 Premier League appearances for Eddie Howe's side. In particular, the veteran striker became a fearsome force at Napoli, before he joined Juventus in the summer of 2016.
"Chelsea have an agreement with Higuain to take him immediately", Gazzetta reported.
The Blues have taken to life under Maurizio Sarri considerably well, with a swift return to the top four in the offing.
What does the future hold for Higuain?
Hazard has been vocal about his joys of having Giroud as the Blues' target man and after the Frenchman set up two of Hazard's goals against Cardiff earlier in the season, the Belgian superstar said: "When he [Giroud] gets the ball he can hold the ball and we can go in deep with him, Olivier's a target man, maybe the best in the world; I think so".
Chelsea boss Maurizio Sarri is dipping his toe into the transfer market, but is not willing to make the plunge to strengthen his squad as we head into the second part of the season.
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There is likely to be a hold-up, as Milan will need to sign a replacement, although they have Financial Fair Play troubles looming too.
The report details that the Argentina global could make the switch to the Premier League in January, as Milan are prepared to cut his loan spell with them.
Chelsea are not prepared to sell Morata in January, mindful of the fact that his underwhelming performances at Stamford Bridge since arriving from Real Madrid in the summer of 2017 ensure that he will not attract offers anything like the £58 million they paid to sign him.
Juventus & AC Milan would have to agree on the deal before Higuain can get his wish of moving to Stamford Bridge but the transfer would be a significant coup for the Blues, who have lacked a ruthless streak in recent weeks.
However, Chelsea only want to sign the Argentina on a shorter terms deal and are not keen on paying a substantial fee for the 31-year-old.