The Brazilian is thought to be on the Blues' radar after impressing for Metalist, who will play Newcastle United in the Europa League last 32, since his move there two-and-a-half years ago.
He joined the Ukrainian club from native side Internacional, where he previously played alongside Chelsea's summer recruit Oscar.
Taison says he recently visited Stamford Bridge and has spoken to owner Roman Abramovich over a potential move.
"I went to England (some weeks ago) just to take a look. I talked to the president," he told Diario Popular.
Taison added of Brazil international Oscar: "I see Oscar, who I played alongside at Internacional, and I want to play with him again."
The 24-year-old's agent, Diego Dornelles, is not ruling out the midfielder leaving Metalist in January.
He said: "The club want him to stay, but there are many things coming."