Vettel fell 76 points behind Lewis Hamilton in the Drivers’ Championship with a fifth-placed finish at the French Grand Prix last weekend.
The German has failed to end Ferrari’s 12-year trophy drought since joining from Red Bull in 2015.
Internal pressure is said to have sky-rocketed after Vettel crossed the chequered line fifth at the Circuit Automobile Paul Ricard.
But the four-time world champion insists he is not going anywhere as he vows to close the gap to Mercedes.
“I do not want to be anywhere else, so I have not thought about it,” said Vettel.
“We would like to be in a different position now, but it is up to us to close the gap to Mercedes.
“I don’t spend a lot of time thinking about other things.”
Ferrari matched Mercedes for the first half of the 2018 season before later falling away.
But this season the Silver Arrows have blown away their rivals straight from the off.
However, Vettel feels his team have actually improved on 12 months ago.
“Maybe I’m not smart enough but I don’t think much about these things,” Vettel said.
“Honestly I don’t see so many differences compared to the last years.
“We are better than in 2015 and 2016, and while it is true that last year at this point we were more competitive, this is what we have.
“We can’t stop to think how we were doing ten races ago, we have to understand what we should do better now.
“So I love racing and nothing changes, in fact I enjoyed Paul Ricard a lot even though I would have liked something more than fifth.”