The new location from chef patron Simon Shaw and Mills Hill Developments will take up the former site of Panama Hatty's, which closed after 13 years of business.
The firm has not yet released details on the menu or use of the site, but the basement of the Grade II-listed building is expected to be incorporated into the offering.
Simon Shaw said: "We're really pleased to announce that we will be opening our long-awaited third restaurant on Brown Street this summer.
"Drawing heavily on my travels through the Middle East, diners can expect authentic flavours inspired by the various regions.
"The space itself will be open and inviting, similar to El Gato Negro, making guests really feel at ease. We're looking forward to revealing more in the coming months."