The 45-year-old Uruguayan, who played for Chelsea from June 1997 to June 2001 and made more than 100 appearances for the club, is around a 7/1 chance to succeed Rafael Benitez when the interim boss departs Stamford Bridge at the end of the season.
Poyet, who has guided Brighton into the play-off places in the Championship this term, said: "I want to go to the highest level and if it's the Premier League and it's Chelsea, fantastic.
"That's my aim. Everybody knows. I don't hide it.
"I like the speculation because it means we are doing something right. But it doesn't change my life at the moment."