The cutbacks are thought to be at the heart of a strategic review of the bank's operations - which is due to be announced by new chief executive Antonio Horta-Osório at the end of the month.
Hundreds of jobs are likely to go at the bank's head office in London, while the rest of the cuts will be split between its other regional bases and what remains of the bank's international operations.
It is not known how many of the cuts will come from Lloyds' offices north of the Border, where Lloyds, which is 41 per cent owned by the taxpayer, employs about 20,000 staff, the Scotsman reported today.
About 27,000 posts have already been cut in the past two years, including more than 1,000 in Scotland. The latest announcement came just last week, when the bank said it would axe 300 jobs across its retail, wholesale and wealth units.
It is thought that Mr Horta-Osorio will not reveal exact numbers of job cuts when he announces the outcome of the strategic review on 30 June, but will instead lay out a series of cost-cutting targets.
He is also due to hint at expansion plans for the company.
Lloyds Banking Group said: "We cannot comment on speculation."