The Mail on Sunday says Chelsea are aiming to sign Sulejmani, 19, before the interest from Barcelona, Real Madrid, Inter and AC Milan grows stronger.
Sulejmani, rated at £10 million, has hit 14 goals in 25 games, but he is under contract until 2010. Chelsea want to buy him and loan him to PSV Eindhoven, a similar arrangement to that with Brazil centre-half Alex.
Sulejmani's agent Mihael Stankovic said: "He's playing very well and a lot of clubs want to sign him. Chelsea were here again at the weekend."