Liverpool are tracking Can, although it is not believed a bid for the Germany Under-21 midfielder is imminent.
Leverkusen's sporting director Rudi Voller told BILD: "There is still no official request."
And the club's squad manager Michael Reschke says Leverkusen want him to remain for at least another season.
"We will do everything we can to keep Emre," he said. "Because we are convinced that another year would be right for his sporting development with us."
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