Kamal said that the BCCI chief N Srinivasan "has assured me that a tour could be possible by the end of the year".
"We know nothing is on the FTP and Bangladesh have never been on a full tour of India so we are working to have this event materialise.
"We'll have to leave it to the Indian side, we can't pressurise them," Kamal was quoted as saying by 'ESPNcricinfo.Com'.
Kamal, who was in India to attend a function of the BCB's new sponsors, Sahara, met Srinivasan on the sidelines of recent ICC meetings.
India have a busy home season between September 2012 and March 2013, with New Zealand, England and Australia visiting.
Kamal said he is hoping to get a final word on the proposed tour during the ICC's annual conference in Kuala Lumpur in June.
More From This Section
Srinivasan assured Kamal that it will be "it will be a complete tour".
Since 1990, Bangladesh have played nine matches in India, all ODIs in multi-lateral series, the last being the Champions Trophy in 2006. India have played 22 matches in Bangladesh against the home team, including seven Tests and 15 ODIs.