The websites for Total Film, Edge, Official PlayStation, Official Nintendo and Official Xbox will be closed if the proposals go ahead, along with the online-only video-games brand CVG.
Sources said Future is planning a single website for its gaming titles. The print magazines are not thought to be affected.
Last week, Future agreed to sell its cycling and craft titles – around a quarter of its business – to Immediate Media.
The company’s 850 staff are currently going through a consultation period, ahead of 170 planned redundancies. The cuts follow a profit warning in March.
A spokeswoman for Future declined to comment.