Some 11 staff at the Scottish Exhibition and Conference Centre (SECC) in Glasgow are at risk of losing their jobs out of around 30 working in the departments, Unison said.
Management were taking staff in one by one as part of a consultation to work out who wants to go and who wants to stay, the union said.
A Unison source indicated that management are offering a top-up of the basic redundancy package of one week of pay per year of service in return for signing a compromise agreement that stops them from taking further legal action, including bringing a case to an employment tribunal.
"It is a difficult situation and that's an understatement," said the source. "They are saying to members of staff there is no longer the level of work."
An SECC spokeswoman said: "We recently conducted a comprehensive review of the SECC ticketing business. As a consequence, we identified various areas where action was required to ensure a commercial model that is both profitable and responds to the operational needs of our business.
"Regrettably, we can confirm there will be some redundancies as a result of efficiency requirements identified through our ticketing review.
"Every effort has been made to avoid job losses across the ticketing business and find alternative positions within the company and this is an ongoing process."
The SECC achieved a pre-tax trading profit of more than £300,000 in the 12 months to March 31 last year, broadly in line with about £350,000 in 2011/12.