The former Australian captain had been signed alongside Matthew Hayden to make the trip to India and provide an Australian perspective on the broadcast, which will be shown back into Australia via Fox Sports.
Clarke was this week involved in a video which went viral of he and TV personality Karl Stefanovic in a public park.
The video, which involved cheating claims and foul language, was filmed by a member of the public. It also involved direct references to the India trip.
Clarke currently is signed with Sky Sports Radio where he is expected to address the video on Monday morning.
According to News Corp sources from within India have confirmed the BCCI are currently reviewing Clarke's spot on the commentary team for the four-Test series.
Since then, Australia have only recorded series wins over the sub-continent nation at home.
The series begins on February 9, although it's unclear when the BCCI will make a final call on its commentary team for the series.