Haye, a Bermondsey-born Lions supporter, will take to the ring at the Hammers' Upton Park home on July 14 in a bout that is already shrouded in controversy.
But Warren has blasted suggestions that there could be football-related trouble in the stands.
"It is nonsense and mischievous to suggest that," he told The Telegraph. "What football fans has Dereck Chisora got ? He supports Manchester United.
"When has a Haye fight had problems with Millwall supporters? With every promotion, we have meetings with the police and a security company, and our event management.
"There has been nothing different from every big show we have been involved in."