Market traders' search for a new home has been narrowed down to two possible sites.
Hundreds of thousands of people have visited the West Pier Market since it launched in 1996.
More than 7,000 people signed a petition urging Brighton and Hove City Council to help them.
All councillors on the local authority made a pledge to support traders last month.
Geoffrey Bowden, chairman of the council's economic development and culture committee, confirmed the search for a new site has been narrowed down to two possibilities.
He told councillors today (Thursday, November 15) he was not aware of where they were but added discussions would take place between officers and traders.
See the latest news headlines from The Argus:
- Thousands raised in one day after death of Alex Maynard from Brighton
- Parents ‘horrified’ by rape of 14-year-old girl in Ovingdean nature reserve
- Bonfire society to charge an admission fee for the first time to Lewes biggest fireworks night event
- UPDATED: Man in hospital with life threatening head injuries after being hit by lorry on A259
- Saltdean jihadi is "willing to die" to warn-torn Syria