The online retail giant is said to be testing technology which would eliminate the need for cash or credit cards to pay for an in-store purchase.
According to the New York Post, Amazon is looking to have the scanners placed in its Whole Foods supermarkets by the beginning of 2020.
It is said that the new system - open to shoppers with Amazon Prime accounts - will differ from fingerprint scanners on mobile devices, in that people won't have to physically touch a scanning surface.
Instead, vision and depth geometry will be used to scan the hands of users and charge the purchases to their card information stored on file.
Although the scanner is already accurate within one ten-thousandth of 1%, the company's engineers want to improve this to an accuracy of within a millionth of 1%.
An Amazon spokeswoman has declined to comment on the report, noting: "We don't comment on rumours or speculation."