The eatery’s owner, The Restaurant Group (TRG), announced the closure of 18 of its sites in an effort to save £5 million a year.
The company’s venue in the Swan Centre is one of the sites affected by this move.
A spokesperson for TRG confirmed the news with The Sun and said: “We announced a review of our leisure estate in March and made the difficult decision to exit some of our Frankie and Benny’s and Chiquito sites.
“We are working closely with our impacted teams and will look to redeploy colleagues to neighbouring sites across our wider estate wherever possible.”
TRG also owns other popular food brands, such as Asian cuisine restaurants Wagamama and Mexican eateries Chiquito.
Some of the other branches of Frankie & Benny’s that will also close are Aberdeen, Blackpool, Leeds, Lenton, Taplow, Tamworth, and more.
The closure date for the Eastleigh site has yet to be confirmed.