Staff were informed of the move on Tuesday (July 3).
The airline says it will consolidate its contact centre operations at a single base in Swansea.
A Virgin Atlantic spokesperson told TTG around 150 people were affected by the proposed changes and a "period of consultation" was under way for them to discuss their options.
TTG though understands a number of members of staff have either already voluntarily taken redundancy, or have been made redundant.
