Citing sources, Sky Italia said Vettel and Raikkonen's new contracts are nearing completion, with an announcement scheduled for the Italian grand prix in early September.
Asked in Hungary if he will stay with Ferrari in 2018, German Vettel answered: "I don't see why not.
"I'm certainly not ready this weekend because, as I've said, I'm not in a rush and I don't think the team is in a rush.
"I think right now we have other things to do but in the summer there's a bit more time. A piece of paper can be signed fairly quickly," Vettel added.