If a deal for Higuain is agreed it could open up the door for Morata to leave Stamford Bridge in the January transfer market.
Higuain played under Sarri at Napoli in 2015-16, and enjoyed the most productive season of his career with 38 goals in 42 games.
The Argentinean worldwide is now on loan at the San Siro from Juve but after starting life at Milan in superb form with 7 goals in his first 9 appearances, the striker is going through a dry spell having netted just once in his last 11 outings.More news: Camp Fire: Trump says he's told FEMA to halt relief money
The Argentine frontman bagged a stunning 36 Serie A goals from 35 appearances under Sarri's tutelage in the 2015/16 campaign.
In total, the 31-year-old found the back of the net 71 times in 94 appearances during his three year reign at the club after which he moved to the Allianz Stadium in a mega deal around £75m move to Juventus in 2016.
'He has to make a decision and take on his share of the responsibility, ' Leonardo said at a press conference on Tuesday.
Brazilian Leonardo added: "There's no point following rumours and gossip".More news: Timberwolves 'rallying around' new head coach Ryan Saunders
"He is here right now".
According to a UK Sun report Blues manager Maurizio Sarri has lost faith with Morata, with Eden Hazard now playing as "False 9" for Chelsea.
He scored 40 league goals in two seasons for them, but left for Milan in the last close season after Cristiano Ronaldo's arrival in Turin.More news: Trump uses televised address to try to create a border crisis