The Blues have made a move to poach the Italian striker on loan from Juventus for the remainder of the season.
The Argentine joined AC Milan in the summer for an 18 million euro loan fee, with an option to buy for 36m euros.
And speculation regarding his future gathered pace on Wednesday after he was missing from Milan's team photo in Saudi Arabia ahead of their meeting with Juventus in the Supercoppa Italiania in Jeddah.
Gonzalo Higuain could be heading to west London.
Infuriated by a perceived unjust refereeing decision, Higuain reacted angrily after the final whistle and had to be dragged away by his Milan teammates.
However, if Sarri opts to leave Higuain out of his squad for Thursday's match, the Argentina worldwide could make his first appearance against Sheffield Wednesday next Sunday in the FA Cup fourth round.
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"I'm not sure on him", Merson told Sky Sports.
The Blues are unlikely to register him in time for tomorrow's clash with Arsenal.
Any deal is complicated, given Higuain's deal with Milan runs until the end of the season, and Chelsea are usually reluctant to commit to deals with older players.
Sevilla have given up on signing the Spaniard due to the costs involved, but Atletico Madrid are seriously interested in giving him a chance to revive his career.
The La Liga giants can not go over their wage cap of €293m and need players to leave before new signings, according to the report.