The permanent IT posts will go from a call centre employing hundreds of people in the city's Gasworks. Jobs at Halifax branches will be unaffected.
The part-nationalised bank is to cut 4,500 jobs, taking the total number of losses to 20,000 since the start of last year, officials said last night.
The Accord union said around 1,700 of the cuts will be overseas, with the rest affecting permanent, temporary and contracting jobs in the UK.
Union officials said they had been told 450 permanent and 550 temporary and contractors' jobs will be cut in London, 280 in the Chester area, at least 125 in Edinburgh, over 200 in Halifax and around 50 in Pudsey, West Yorkshire.
A spokesman for the company said that no Halifax branches in Northern Ireland would be affected by the cuts.
The UK "superbank" formed by Lloyds' takeover of HBOS, including Halifax and Bank of Scotland, was designed to stave off the nationalisation of ailing HBOS, and created a giant with 3,000 branches, 22m current accounts and 27% of gross mortgage lending.
In August, Lloyds moved to close its Irish corporate lending wing - called Bank of Scotland (Ireland) - after concluding that there was "little opportunity for scalable growth in the future".
That followed a decision to pull down the shutters on its 44 Halifax branches in the Republic after coming under pressure to shrink its balance sheet.
Lloyds yesterday said it had reached agreement with the management of BoSI on setting up a new company to oversee the winding-down of the bank's operations.
Lloyds has said that the wind-down would lead to 36 job losses, with most of the 800 staff moving to the new company.
The bank has a 32m loan book in the Republic, around a third of which is linked to business loans, a third to mortgages and the remainder to property development and investment loans.
Staff have voted to take industrial action over the setting up of a separate company. Trade union Unite said staff have not been given clear enough assurance about terms and conditions in the new company.
Lloyds reported a return to profit for the first half of the year, reporting a £1.6bn profit.
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