Barkley turned down a move to Chelsea on transfer deadline day in August.
Everton midfielder Ross Barkley is expected to have a medical at Chelsea on Friday before a £15m move to Stamford Bridge.
Barkley, capped 22 times by England, has previously expressed a desire to play Champions League football and would be eligible to play for Chelsea in their last-16 clash against Barcelona in February if he completes a move to the club.
The 24-year old remained a wanted man for Chelsea and was under Conte's radar for a couple of seasons.
Barkley has rejected a new deal at Everton, who he joined as an 11-year-old in 2005, with his current contract due to expire at the end of this season.
Tottenham Hotspur have also harboured a long-standing interest in Barkley, but sources have told ESPN FC that they are not prepared to rival Chelsea for his signature in January as they pursue other targets favoured by Mauricio Pochettino.
Barkley opted against leaving Everton while carrying a hamstring injury that has forced him to sit on the sidelines so far this season. The 24-year-old England global, who is out-of-contract at the end of the season, was keen on a move to Spurs - but they were not willing to offer him more than £100,000-a-week.