The party has already sent a letter to the city police seeking permission for the dharna at the Metro Channel in the heart of the city between February 21 and 23,
Contesting the claims, senior advocate AM Singhvi said, the West Bengal Police and Kumar were fully cooperating with the agency.
While the Supreme Court is seized of the matter, legal experts and former officials throw some light on the huge controversy.
The CBI wanted to question Kumar, who led a special investigation team (SIT) probing the Saradha and Rose Valley chit fund scams in 2013, regarding missing documents and files in the case.
Recently, the central agency had issued a notice to two BJD legislators for questioning in the chit fund scam which was strongly opposed by the ruling party.