Jones, who turned 31 last week, is looking to follow in the footsteps of famous long-serving goalkeepers like David James and Brad Friedel who reached the age of 40 while still playing at a high competitive level.
The Australia international has made 14 appearances for the Merseyside club this season and has impressed between the sticks.
"There are plenty of keepers about that are in and around that age and if you can do it, you've got to make the most of it and play for as long as you can because once it's gone, it's gone and that's it - it just becomes a memory," Jones told Liverpool's official website.
"You might as well play for as long as you can, so if I can get to 40 and still be playing then brilliant.
"I've got a few years to catch up to the likes of Friedel, Schwarzer and the like, but before them there was Lehmann, Seaman and David James that have played on for the same amount of time, so I don't see why I can't as long as I keep myself in shape and, touch wood, there are no injuries."
Jones admitted that he must do all he can to ensure he's able to reach his 40th birthday still playing the professional game.
"There are definitely things you can do," he added. "Strength and conditioning is one of them. If your body is in good shape, then you've got more chance of not being injured.
"As a goalkeeper, you're taking a lot of knocks every day and the floor doesn't get any softer! A lot of strength work and good luck is the key, I think."