While TCS did not disclose any financial details, LBG said about 1,000 staffers will move to Diligenta as part of the deal.
"Under the terms of this agreement, Diligenta will support Scottish Widows to provide end-to-end policy administration services for its 4 million heritage customers," TCS said in a statement.
When contacted, LBG in an emailed statement said: "To provide a seamless handover of service, LBG will transfer some of its operational processes and IT applications, along with...1,000 employees servicing heritage life, pensions and investment customers, who are expected join Diligenta at existing LBG sites under a TUPE arrangement".
LBG said Diligenta already manages more than 11 million life and pension policies in the UK on its end-to-end policy administration platform.
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In a separate statement, Unite -- a union representing staff across Lloyds Banking Group -- said the decision "to outsource around 1,000 staff to Diligenta" was a "betrayal".
Unite said LBG had informed the staff today that it is outsourcing its closed book operations from its insurance division to TCS Diligenta.
"The Scottish Widows and Clerical Medical workforce will simply be sold by the bank and their employment transferred to the third party outsourcing subsidiary," it said, adding that this will impact staff in Edinburgh and Bristol.