Cavani's age is understood not to be an issue for the Blues who believe his height and strength make him a ideal fit for the Premier League, who is considered an upgrade on the struggling Morata - who has scored just 11 league goals since his club-record move from Real Madrid last summer.
Morata enjoyed a successful two-year spell at the club between 2014-2016, bagging 27 goals in 93 games before Real Madrid triggered their buy-back clause.
Reports suggest Juve could make a £60 million ($81m) bid this summer, or look to take Morata on loan, but Conte insists that the striker must focus on the remainder of this season, and also prepare for 2018-19.
"The situation wasn't in our hands and for sure the possibility is less than before", Conte said.
"I don't like to comment on speculation".
Asked about Morata's form this season and whether Conte believes the player will still be at Chelsea next term, he said: "This season was a hard season but not only for Morata".
Morata's debut season as a Blue can not be considered a success. "Not only one player".
Their hopes of making a top-four finish will have to depend on Spurs not having maximum points in their last two matches.
Asked if he had rested Hazard ahead of Chelsea's FA Cup final with Manchester United, Conte responded: 'No, absolutely not.
Who is the better coach, Mourinho or Conte?