Direct Line - the UK's biggest motor insurer - said staff across head office and support functions were expected to be impacted in the latest round of redundancies.
But the group said it hoped to redeploy staff where possible and find opportunities for affected workers with other potential employers.
The job cuts - representing about 14% of its 14,400-strong workforce - come as Direct Line announced aims to more than double its original cost savings target to over £200 million in gross annual savings by 2014, or £130 million a year on a net basis.
Direct Line has already axed 1,200 jobs since last August under the cost-cutting drive.
It has 16 sites across the UK, including offices in central London, Croydon, Bromley, Leeds, Glasgow and Manchester.
But the group is shutting its Teesside call centre over the next week, as previously announced, and it is understood another site is at risk of closure under the latest move to slash costs.
He added: "As we have done in the past, we will deal fairly and carefully with those impacted, and do all we can to support them through these changes."