The Australian's position in the team was in doubt in the aftermath of the Malaysian Grand Prix in which Webber was overtaken by eventual race winner and Red Bull team-mate Sebastian Vettel, despite orders from the team for the drivers not to race each other.
There has been plenty of fall-out since then, with Webber visibly upset with the three-time world champion on the podium in Sepang, but the 36-year-old has said he will honour his current deal with the team before discussing his future with team owner Dietrich Mateschitz at the end of the season.
"I'm definitely keen to finish the season - a lot of people were questioning that, but that wasn't something on my mind," Webber said ahead of this weekend's race in China.
"Year-by-year (contract extensions), that's how it has always been for me, so come the summer I will talk to Dietrich and we'll go from there.
"We're only at the third race and I have never, ever made decisions about my career at this point in a season and, although it's a topic at the moment, I don't see why I should make any decisions about the future."
The result in Malaysia, with Vettel winning ahead of Webber in second place, means the German now leads the early drivers' standings with 40 points and Webber sits third with 26.