The Argentinian striker has flattered to deceive on loan at AC Milan, where he has scored just five Serie A goals in 14 games.
According to Sportmediaset, the 31-year-old is desperate to reunite with former boss Maurizio Sarri.
Higuain banged in 38 goals in 42 matches under the tutelage of Sarri in their only season together at Napoli, before he jumped ship to sign for the Old Lady.
And the Italian news outlet also claims that Juve have given the World Cup runner-up the green light for the deal to go ahead.
The report further states that Milan are happy for Higuain's loan spell to be cut short after failing to impress at the San Siro.
SunSport reported that Chelsea are in talks with AC Milan about a possible swap deal with Higuain and Alvaro Morata.
The Spanish forward could be nearing an exit away from west London after failing to convince Sarri he is capable of leading the line.
He has netted just four league goals this season, and like Olivier Giroud, finds himself sitting on the bench with Eden Hazard playing as a 'false nine'.
Chelsea currently sit in fourth place in the Premier League following their 2-1 win against Watford, and travel to Selhurst Park on Sunday to face Crystal Palace.
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