The Mirror says he has been pushing to land No1 target Draxler this month but has yet to agree a deal with Schalke.
Draxler is keen to move, but the Londoners may have to wait until the summer to get their man.
Another scenario would be to agree a deal in advance.
Arsenal did something similar with Cologne over Lukas Podolski two years ago and are working hard on a deal for Draxler, who is seen as having the potential to switch from his current attacking midfield role to playing up front.
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