Off contract at the end of the season, Barca are expected to allow the Dane to run down his deal without intervention.
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Mundo Deportivo says watching the situation are Atletico, which are keen to keep Christensen in Spain next season.
While he has struggled for form and fitness over the past two seasons, Atletico management regard Christensen highly and believe he can improve their defensive options.
Any move is likely to wait until the summer - unless Barca agree to release Christensen six months before his deal expires.