The Daily Corinthian reports Cook Coggin Engineers submitted the design to the Alcorn County Board of Supervisors. Construction bids are being taken through Monday.
Board President Lowell Hinton said the supervisors will decide whether to go ahead with construction after all bids are in.
The design is for a 40-by-100-foot pole barn built on property owned by the city of Corinth.
The open-air design would allow water to flow through in the event of flooding.
Corinth officials had input on the plans.
Market supporters believe the shed would be a plus by getting growers and customers out of direct sunlight during hot summer months.