Bensidoun USA is the same company that operates a French market in the Oglivie Transportation Center.
Bob O'Neill, president of the Grant Park Conservancy, tells the paper the market would be open Fridays from 7 a.m. to 1 p.m.
It could be up and running as early as Memorial Day and would run though October.
Officials expect about 20 vendors to take part at first. They would sell bread, cheese, fruit, meats and other products. Park District spokeswoman Zvezdana Kubat says the specifics are still being finalized.