Since joining the Blues from Werder Bremen in the summer, Marin has made only nine appearances and is keen to ensure that he does not disappear from Germany contention, with CSKA Moscow reportedly among those interested.
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"I will not hide the fact that Marin has several interesting offers of a loan until the end of the season," representative Fali Ramadani told the Daily Mirror.
"Marko wants more playing time but we understand that at a major club like Chelsea there will always be serious competition for places.
"Marin feels good in London but, in order to play regularly for the German national team, he needs to be a first-teamer.
"We'll have a conversation soon with the Chelsea hierarchy about all possible options for him to continue his career."
The 23-year-old Marin last added to his 16 international caps against Kazakhstan in October 2010.