Sport Bild reported at the weekend that the reigning world champion is close to signing up with Mateschitz's Red Bull Racing through 2014.
"I can't comment at the moment but it's no secret that I am very, very comfortable with Red Bull," Vettel, 23, is quoted as saying.
He has recently mused a possible switch to Ferrari or Mercedes but the reports said Vettel will earn more money in 2012 and beyond and be required to do less PR work.
I'm very happy where I am, it's like a family
In a new interview with Spain's Marca newspaper, Vettel was asked about the Ferrari rumours.
"If you look at my passport, I think I've got more than a couple of years more to think about it," said the German.
"I'm very happy where I am, it's like a family. I have a special relationship with Red Bull and I'm proud of that."