The England global has now returned to training after a painstaking rehabilitation and Antonio Conte, the Chelsea head coach, wants to bolster his squad in January.
But they hesitated for too long, hoping to sign him for free in the summer, allowing Chelsea to move into pole position to sign the highly-rated English midfielder.
With both Tottenham and even Arsenal interested in the England playmaker, the Blues want a swift resolution to the transfer rather than spend the entire January window.
The Telegraph and even the Metro further added that Chelsea is very confident of signing the Everton man.
New boss Sam Allardyce has always been resigned to the playmaker's departure and Tottenham were expected to rival Chelsea for Barkley.
The Toffees boss declared: "The club was resigned to losing Ross before I got here".
Chelsea are going to pay £15m to secure the 24-year-old this month.
The England global has less than six months left on his contract at Goodison Park and Tottenham was hoping to get him for free in the summer. The 24-year-old England worldwide, 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.
Barkley has not featured for Everton this season as he recovers from a torn hamstring.