Recent reports had claimed that the Australian driver, whose contract with Red Bull is due to expire at the end of the current campaign, was keen to drive for the Italian team.
However, Webber has dismissed the stories by pointing out other drivers have also been linked with the move.
"There's a whole season ahead of us before we need to think about the future. One day the talk is about Jenson Button, then it's Sergio Perez, now it's me. I haven't signed anything," the 35-year-old told ESPNF1.
"My focus is on this team. We have had a good start to the season, we're only four races down and the road is very, very long before we start talking about the future."
Webber joined Red Bull in 2007.