The scheme gives a 50% discount on food and drink for sit-in meals, up to £10, on Mondays, Tuesdays and Wednesdays during the month of August.
James Huey, who owns Walled City Brewery in the city, said the scheme has helped normalise dining out again for many people and is helping to boost the struggling hospitality industry.
“The big thing for this is confidence,” said Mr Huey.
“We’ve certainly had a lot of regulars prior to lockdown coming back for the first time,” Mr Huey said.
“You can see they are nervous coming through the doors, but the consensus is when they are leaving that they are happy to come out again,” he added.
Mr Huey hopes this will encourage people to come back in September when the scheme stops.
Alison Canney from Spaghetti Junction said the restaurant has been booked out last week and this week and has still seen healthy footfall at weekends.
“It’s going really, really well,” said Ms Canney.
“Hopefully this will have a good affect long term,” Ms Canney said.