Former prime minister Tony Abbott says he will serve in Parliament until the next election and has left the door open to staying on beyond 2016.

In an interview with Alan Jones on Sydney radio station 2GB, Mr Abbott said it is a "tremendous honour" and a "noble calling" to serve as a backbencher.

"I am determined to do what I can to serve the people of Warringah and Australia for the rest of this Parliament," Mr Abbott said.