The two clubs have already held talks over the transfer of the 22-year-old to the Premier League outfit.
"I am hoping for a solution around the weekend," Ingo Haspelt told Bild.
"I am awaiting information from Leverkusen or Chelsea. I can only repeat that Chelsea want Schurrle, otherwise they would not be negotiating."
Bayer reportedly want £22m for Schurrle.