LIDL is hoping to build four new stores in the city.
The German supermarket chain has published a full list of locations where it would like to open a new branch.
Included within the plans are four locations in Brighton and Hove.
These are central Brighton, Hove, Moulsecoomb and Portslade.
A Lidl spokesman said: "As part of ongoing national expansion plans, our dedicated property teams are working hard to identify suitable locations across England, Scotland and Wales.
"This is for both new stores where there is demand for a Lidl, and existing stores that we would like to remodel for customers, which may require a relocation to do so.
"We would encourage any landowners or agents who may be aware of suitable sites, to get in touch with our property teams to discuss."
A number of other locations across Sussex have also been identified.
These include, but are not limited to Crawley, Hailsham, Hastings, Lewes, and Horsham.
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