The companies are holding preliminary talks and may take a call on the matter in the next few weeks, sources privy to the development said.
They did not wish to be identified as discussions are still on and the deal has not been signed yet.
Alibaba spokesperson said the company doesn't comment on market speculation.
One of the persons familiar with the development said BigBasket is looking at raising money to fund its expansion plans.
BigBasket has raised over $200 million from investors including Abraaj Group, Bessemer Venture Partners, Growthstory, Helion Venture Partners, IFC and Sands Capital.
With people becoming comfortable buying even milk and bread online, online grocery segment is projected to witness a strong growth over the next few years.
According to a report by Franchise India, the online grocery market is expected to be Rs 2.7 billion market by 2018-19.
Industry watchers believe that grocery would become bigger than electronics and fashion, categories that currently dominate online purchases.
Grocery delivery is a cash-intensive business as players operate on wafer-thin margins and often end up losing money on delivery. Players like Snapdeal-backed PepperTap has already shut shop.
However, the action is set to return with Amazon $500-million FDI proposal getting approved.
(Only the headline and picture of this report may have been reworked by the Business Standard staff; the rest of the content is auto-generated from a syndicated feed.)