The Japanese driver has not scored a point since the German Grand Prix in July, and he endured a disappointing home race last weekend despite a strong qualifying effort.
Kobayashi admitted he needs to return to the points this weekend in Korea.
"We'll see. We need a boost," said Kobayashi. [Suzuka was] a bit of the boost, but only qualifying for me. Sergio did a great job, so that is why it looks like that. For me I have to really find some points in the race."
The Sauber driver said, however, that the upgrades introduced by his team at Suzuka were a step forward.
"I think the Suzuka update was pretty good so definitely our car performance is improving," he said. "Last year the track was very slippery, so we have to think about tyres as well.
"Hopefully if there is more grip it will be helpful for everybody, but with the super soft and soft is something tricky."
And Kobayashi admitted the Korean race will be easier for him, conceding the Japanese Grand Prix was tough because of the pressure.
"Yes, exactly," he said when asked if Korea's reduced pressure would be better for him. "Suzuka was tough."