Markovic is regarded as one of the most exciting young players in Europe and has already been linked with moves to Germany and Italy as well as to the Premier League.
Liverpool are also thought to be interested but the 17-year-old striker, rated at £10 million by Partizan, admitted that he only has eyes for Stamford Bridge and has followed the Blues since he was a child.
"I really hope I can go to Chelsea, it's my dream," Markovic told The Sun.
"I'm told there were 20 scouts from all over Europe in the VIP box when we beat Red Star.
"But Chelsea is the place I want to play. I had all the pictures of the team on my wall at home back to when they had Gianfranco Zola.
"And any time they are on TV I try to watch them. For me Chelsea are the best. I want to go to the Premier League. It is the best league in the world."