With the 21-year-old still having four years left on his contract at Goodison Park it could be that Jose Mourinho finds it difficult to prise the England international away from Merseyside unless he offers a truly mammoth fee.
If he does, then here are five players to have been previously linked to Chelsea who the the Portuguese coach could move for…
5) Antonio Rudiger, Stuttgart
Already a regular at the Bundesliga side despite being just 22-years-old, and also able to play at right-back like Stones.
The Metro have linked the Blues to the Germany international, but a recent knee injury may put things on hold.
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