Higuain hit the ground running with two goals on his Premier League debut in Chelsea's 5-0 thrashing of Huddersfield, but Sarri has the bigger picture in mind for the Argentine forward ahead of this weekend's trip to champions Manchester City, live on Sky Sports Premier League from 3.30pm on Sunday.
The Belgian has described a move to join Los Blancos as "a dream" on a number of occasions, and earlier this week he told French TV station RMC that he has made a final decision on his future.
Jorginho has covered more ground than any other Chelsea player this season - even more than renown road-runner N'Golo Kante.
Sarri praised Higuain's all-round performance against Huddersfield, highlighting in particular his immediate chemistry with Eden Hazard on the pitch, and the Italian is confident that Chelsea's new striker will be able to make a big impact in English football as long as he remains in a positive frame of mind.
He said "The manager likes possession". Wake up, Blues, we have one hell of a player holding our midfield.
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Speaking in an interview quoted by Metro, Hazard said: "When we have the ball, we have a lot of freedom, not just me but the striker [Higuain] and the right [attacker] Willian or Pedro, so we can move a lot".
"I hope I am the football father!"
"In football, you can be at the top but in three months you can be nothing", said Hazard, who has three younger bothers, all footballers.
"Usually we learn from Arrigo Sacchi", Sarri added. I want to see him happy.
"The way I am can be a weakness to be the best player in the world".