One person, who did not want to be named, said staff had attended a meeting with the principal, Dr Paul Neeson.
The source claimed they were informed that two modern languages and two art teachers were to go because of falling roles, and the school hoped to meet these with voluntary redundancies.
Staff at the Werneth school were also told not to discuss the matter with parents and added: “The staff were very upset.
“They have just built a new art block yet they are losing two (art) teachers.
“Everybody is very demoralised. It is very worrying and we feel the school is putting on a false face.”
However, chairman of governors Rosemary Brierley said the information was inaccurate and stated: “The school is not in trouble. We are not in financial difficulty”
Instead, she said recruitment and staffing were being reorganised because of changes in the optional subjects taken by pupils at GCSE and A-level, but it was too early to say how.
This would involve the likes of teachers taking on new roles or retiring rather than redundancies.
“We are an organisation with a turnover approaching £10 million a year and, as with any similar business, we must manage our costs effectively.
“Prudent investment, year on year, enables us to maintain and develop our facilities to support the high standards we set out to achieve,” explained Mrs Brierley.
“One of our major cost centres is staffing and annually we examine the most efficient deployment of teachers
“This year is no different to any other.”
Mrs Brierley said staff were told that matters between them and the principal were confidential, and confirmed that pupil numbers varied across the school, reflecting demographic changes.