According to The Sun, the 24-year-old defender has impressed scouts with his displays on loan at Coventry this term.
With Clarke-Salter showing that he can star in the Championship, teams are assessing whether he can make the step-up to playing topflight football.
The defender is out of contract in the summer, but Chelsea can extend that by 12 months to recoup a transfer fee, should the player want to leave.
However, the club cannot activate any extension until the takeover by Todd Boehly's consortium is officially complete.
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