Tilbury Douglas already uses the Interserve brand for some of its activities.
It also plans to incorporate outsourcing business Building and Property, which it bought for £85m in December, into the brand.
A statement released this week said: "The directors believe that the broader use of Interserve will project more clearly the group's ability to add value for customers through the provision of a wide range of integrated support services." The company is seeking shareholder approval of the move and has called an extraordinary meeting early next month to discuss the proposal.