The 31-year-old is the most successful captain in the Blues' history and is fifth in the club's all-time appearance list.
Terry has been with Chelsea since the age of 14 and, aside from a brief loan stint at Nottingham Forest, has played for the west Londoners his entire career.
"For me, you don't see (one-club players) in this day and age," he told Chelsea TV. "You see a couple of the Manchester United lads and Stevie G (Steven Gerrard) at Liverpool, but other than that you couldn't count five people on your hand.
"It is a rare breed and I am really proud to have spent my whole career here. I have been fortunate enough to start at a very young age and to see different managers come in, big managers, and for me to keep improving.
"One because I have wanted to and secondly because I see this as my club and always will. When I finish playing I want to come back to Stamford Bridge and bring my kids to watch games and things like that. For me, I am really proud to be at one club and no other club. I could never see myself in another shirt anyway."