The Belgium midfielder scored the only goal in the FA Cup final against Chelsea in May.
One of the Foxes' top priorities this summer has been to secure the future of Tielemans.
Tielemans has only two years remaining on his contract, and the Daily Mail says Leicester are desperate to extend his stay.
That is because Liverpool have shown a strong interest in the 24-year-old.
TIelemans would earn more than £100,000 a week if he re-signed with the Foxes.
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