The 33-year-old signed a one-year deal with Jose Mourinho's side in May, which will take his time at Stamford Bridge into a 17th consecutive senior campaign.
Terry admits that any new contract will hinge on his performances this season but the former England captain is relishing the incentive of playing for his future.
"Things change. Players get older and move on. One day it is going to be me," the defender told Chelsea TV.
"I'm certainly going to be giving my all to make sure it is not at the end of this season.
"It's an important year for me. Obviously I got a year's contract and it's dependent on how I do again this year so it's on me and I quite like that pressure. Hopefully we can go again."