Earlier this month, Barkley completed a transfer from Everton to the Blues having arguably failed to live up to his potential during his time at Goodison Park.
However, following an enforced layoff with a hamstring injury, Barkley has admitted that he has become "obsessed with improving" after making the switch to the current Premier League champions.
The 24-year-old told Sky Sports News: "I am obsessed with improving. I want to get to a level where I am regarded as one of the best and coming to a club like Chelsea gives me the right platform to improve.
"I want to be regarded as a world-class midfielder. At the moment I have a lot of potential and a lot of world-class attributes and I want to showcase that at a massive club like Chelsea and win things and be regarded as a top-quality player.
"I have got to a level where I feel I needed to make the jump to Chelsea and push myself and get myself to a better level and playing with world-class players here is only going to help."
Barkley is expected to feature on the bench when Chelsea face Brighton at the Amex Stadium on Saturday afternoon.