Parent club Juventus are in talks with Chelsea as well as Milan over Higuain's future.
And Atletico are only willing to take the misfiring flop off Chelsea's hands if they can land him on a loan deal until the end of the season.
And he is willing to cut his loan stint at the San Siro short to secure a switch to Stamford Bridge.
Milan boss Gennaro Gattuso confirmed it was a fever, not Higuain's possible departure, that kept him out of the XI for Wednesday's match against Juve.
Higuain, now on loan at AC Milan, came off the bench in Wednesday night's Supercoppa Italiana loss to parent club Juventus in Jeddah, Saudi Arabia.
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Milan want to act quickly as Higuain's transfer is in place and he is ready to fly to London to complete his move to Chelsea, though they do have Patrick Cutrone in reserve. "You know what I mean".
"Higuain wasn't in the picture because I was afraid the virus would spread among the other players, so that was my decision", Gattuso added, justifying Higuain's absence. "To speak of figures, it was enough to understand that the operation was impossible for us".
However, Chelsea's chief-executive Marina Granovskaia remains uncertain if Higuain is the answer to the club's problems in the attack department according to SkySports in Italy.