Carlos Tevez is enjoying his football in Italy and has every intention of honouring his contract at Juventus.
Ramires is hoping to spend 'much longer' at Chelsea after passing the 200 appearance mark for the club.
The 21-year-old, who played in a 5-1 Capital One Cup defeat at St Andrew's in August, impressed City staff during a recent trial period with the club.
Manager Lee Clark told the club website: "We have been scouting Olly for a while now and he was one of Barnet's standout performers during our tie earlier this season.
"Olly has impressed us further during a recent trial period and we now look forward to seeing how his development continues over the coming months."
Lee, son of former England international Rob Lee, began his career as a West Ham trainee before signing for Barnet last summer.