In an interview with the BBC, Kirby said: "At the moment there has been no conversations between myself and the club. I want to continue playing football and continue playing football at a high level.
"I still feel I have a lot to give wherever I am, whether that's at Chelsea or that has to be somewhere else. But I love the club. I've been here a long time and have some great friendships with players and staff.
"You do question how many times you can go through something. It's never an easy thing. I also have frustrations with my body and its limitations.
"Playing football is something I still enjoy doing. I still have that really competitive nature inside me. I will keep playing until that fizzles out."