Antonio Rudiger's representatives have begun talks with several European clubs over a pre-contract agreement.
The brother of the defender's agent is also an admirer of the Manchester United interim manager, who will take up a consultancy at Old United in the summer.
After the end of the season, he is free to talk to foreign clubs about a possible move, but he will have to wait until the summer.
The German international's camp has not ruled out the possibility of him remaining at the club.
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At the start of the season, the Blues' most recent offer was rejected by the player and his representatives as it promised to pay him only half of what the club's top earners make.
Despite the uncertainty over his future, Antonio Rudiger is focused on helping Thomas Tuchel's side achieve their objectives and will remain committed to the club for the remainder of his contract.
The head coach has started his teammate in 20 games this season, the most of any outfield player.
In his first year at the club, Rudiger won the FA Cup, the Europa League and the European Championship.
One of the four defenders who are out of contract at the end of the season is Antonio Rudiger, who could be leaving for pastures new this summer.
Cesar Azpilicueta, the captain, is one of several people reaching the end of their deal.
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