The Independent axed its education supplement earlier this month and has merged it into the main paper.
The newspaper has been publishing the education supplement on Thursdays, for more than 10 years.
According to MediaWeek, the move has prompted the paper to offer compulsory redundancy to the supplement's editor, Lucy Hodges.
Hodges has been with the Independent for 11 years.
However, the National Union of Journalists (NUJ) has warned of industrial action over the planned redundancy of Hodges. They said that a ballot would be held next month to decide on the matter.
Both Hodges and executives at the Independent declined to comment.
Fiona Swarbrick, national organiser in the NUJ publishing department, said they hope to reach a resolution without industrial action.