Fifty jobs are being axed at Virgin Media's Birmingham operation and the roles transferred to India instead.
The Communication Workers Union branded the decision a "kick in the teeth" for workers.
Virgin proposes to move jobs from its services division in Sheldon and Bradford to Bangalore.
CWU national officer John East said: "This announcement is a kick in the teeth to these employees who have already undergone several rounds of redundancies.
"Morale is understandably low, especially when staff are performing well and the work is there for them to do.
"It's a cynical move to outsource jobs abroad when unemployment in the UK is still high. This will undoubtedly hit the local economies in both Birmingham and Bradford."
A Virgin Media spokesman said: "We are talking with our staff about some proposed changes to the way we work.
"That includes relocating some back office roles but also creating other new job opportunities in Birmingham.
"If the proposals go ahead, we expect to create more than 50 additional positions in Birmingham."
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