The Daily Star reports that Mourinho wants to make an offer of around £25million for Draxler in the January transfer window.
Schalke general manager Horst Heldt has recently insisted that Draxler’s future is in the Bundesliga.
“Julian Draxler will be at our club this season, that is for sure,” Heldt told Kicker-Sportmagazin.
“There will be no fuss regarding him during the January window as he is committed to our club.”
The 20-year-old has also been linked with the likes of Arsenal, Manchester City and Manchester United.
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Chelsea have struggled to build momentum in the opening stages of the campaign and are currently looking over their shoulders at the relegation zone.
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