The Dejects look set to replace interim boss Guus Hiddink with Conte after Euro 2016.
But Allegri was in the management along with Diego Simeone and Jorge Sam oli.
Mauricio Pochettino was also joined with the gig this weekend re-opening the discussion over who Roman Abramovich may delegate.
However the Mirror report that Conte is now “all but certain” to be the next man in at the Go.
Juventus boss Allegri said: “Next year I’ll still be direct of Juventus, because I still have another year on my contract.
“It’s 100 per cent [indisputable], there’s never been anything [with other clubs].”
Conte inclination leave his role as Italy manager at the end of the Euros in France.
And reports today commanded he would start at the Bridge on July 14.