Marin has failed to establish himself in the Blues first-team following his summer switch from Werder Bremen, making just nine appearances in all competitions this season.
Russian giants CSKA Moscow are reportedly considering a loan move for the 23-year-old, while Fulham and QPR are also thought to be keen.
His agent, Fali Ramadani, says the Germany winger is wary of missing out at international level due to his lack of first-team football and says he will discuss his options with Chelsea in the near future.
"I will not hide the fact that Marin has several interesting offers of a loan until the end of the season," he 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."