Chelsea have two remaining fixtures before the Premier League season concludes, and with the club sitting just two points off the top four, Wednesday night's match against Huddersfield and Sunday's match against Newcastle will be seen as must-win games.
The 25-year-old has attributed his hard form to regular painkilling injections, and hit back at his critics in the process.
But talkSPORT report that the Turin club are "edging closer to a reunion" with the Chelsea striker, who spent two years at Juve from 2014 to 2016.
"The situation wasn't in our hands and for sure the possibility is less than before", Conte said.
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With Juventus on the verge of making yet more history, the team's coach might just be looking overseas for more challenges. He could follow in those footsteps again if Conte leaves Chelsea after a disappointing season with the London club.
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The pair have yet to address their relationship status, although Kardashian attended Thompson's basketball game Saturday. Khloe Kardashian checked her reflection in the mirror and told her best friend, "Girl, I think my butt is big".
Chelsea are now fifth in the Premier League table, and sit two points behind London neighbours Tottenham, with a further three points behind Liverpool who they defeated last season.
When asked about Juventus rumours Conte added: "I don't like to comment on speculation".
"It is not right and we have to focus on the present and finish the season in the best way".
Conte's rather freakish decision to rest his two most in form attackers Eden Hazard and Olivier Giroud has come in for some heavy criticism from Chelsea fans. That suggests that Morata's wage demands, at one time described as "significant", have been met and therefore he will be earning close to the £8.5m he pockets a season at the Bridge.
And the club have provided an update on his fitness as fans sweat over his availability for the FA Cup final.