The 36-year-old, who joined the team in 2007 following a one-year stint with Williams, has revealed that he is likely to end his career with Red Bull, but cannot completely rule out a switch.
"For me to finish at Red Bull is quite likely," BBC Sport quotes. "But you never know, someone might ring tomorrow with something else. It's a funny old business, Formula 1. But chopping and changing teams, that's something that would be quite difficult. I'm not particularly keen on doing that."
Webber, who finished sixth in last season's drivers' rankings, will line up for the start of the new campaign at the Australian Grand Prix this weekend.
The Australian has a one-year contract with Red Bull.