Juventus and the midfielder are due to part ways next June as his contract expires.
The veteran is open to opportunities in England following a trophy-laden areer across Germany, Spain and Italy. Of course, a return to his homeland cannot be ruled out at such a late stage in his career.
Leipzig, who are known to recruit aggressively in the market could look to pick up some more experience in Khedira. After all, he is a versatile player who is capable of playing in various midfield positions.
Nagelsmann told Sky Deutschland, “All the names available to strengthen the team must be carefully evaluated. And I can assure you that we will.
“Khedira? He would be an excellent player for many European clubs given his experience, his ability to be a leader for having played in teams like Real Madrid and Juve. It is bad to see him on the fringes of the Juventus squad.”
Leipzig gave them a chance for qualification by beating Istanbul Basaksehir 3-4 on Tuesday. Now, all three of Leipzig, Manchester United and PSG sit with nine points in Group H of the Champions League.
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