The Stamford Bridge club would likely have to compete with Atletico Madrid and Juventus over his signature.
The 25-year-old has attributed his hard form to regular painkilling injections, and hit back at his critics in the process.
But Conte has insisted Morata must focus on the remainder of this season and also prepare for the 2018/19 campaign.
Conte's rather weird decision to rest his two most in form attackers Eden Hazard and Olivier Giroud has come in for some heavy criticism from Chelsea fans. "I think the situation is very clear", he told reporters.
"I don't like to comment on speculation", said Conte. Morata's back injury and lack of form have caused the Blues to drop support and faith in him despite scoring 13 goals and notching up six assists in his debut season in England.
Conte, however, admitted that Chelsea will struggle to qualify for next season's Champions League following the draw.
Their hopes of making a top-four finish will have to depend on Spurs not having maximum points in their last two matches.
And the club have provided an update on his fitness as fans sweat over his availability for the FA Cup final.