If Sarri is unable to convince Chelsea over Higuain, the Italian will turn his attention to Wilson, who has scored 10 goals in 23 matches in all competitions for Bournemouth this season.
Higuain had his most successful season under Sarri, breaking the Serie A goalscoring record with 36 goals in the 2015/16 campaign.
However, the deal remains complicated with AC Milan remaining reluctant to terminate their existing loan contract with the Argentine and this could shift the Blues' interest elsewhere.
"He has to make a decision and take on his share of the responsibility", Leonardo said at a press conference on Tuesday.
"He had a tough moment, he has to put it behind him and get to work".
"He is here right now".
His age aside, his wage demands aside, the difficulty of negotiating with two teams aside, Higuain scores goals, and Chelsea need goals.
Chelsea, for their part, are in need of a striker after deploying Eden Hazard as a false nine for a large chunk of the season.
The 26-yer-old Spaniard has struggled for form since his £65m arrival at Stamford Bridge from Real Madrid in 2017.