Spokeswoman Neelam Kapur told Reuters she was trying to verify the media reports. The prime minister's office declined to comment, while Bansal could not be contacted.
Bansal was widely expected to step down after police arrested his nephew last week for accepting a bribe in a case that was seen as embarrassing to the Congress party-led government which has been battered by a series of corruption scandals.
Opposition demands for the resignation of Bansal and another minister caught up in a separate scandal had paralyzed parliament and forced the government this week to shelve, for now, planned economic reforms as well as a flagship program to give cheap food to 70 percent of the population.
(Reporting by Anurag Kotoky; Editing by Ross Colvin and Jon Hemming)