West Ham host the Black Cats on Saturday and Brooking is wary of the impact that Dick Advocaat's arrival at Sunderland could have on the North East outfit and their supporters.
Advocaat was announced as Gus Poyet's replacement on Tuesday morning and Brooking is expecting Sunderland's performance to improve as a result of his appointment.
"On Saturday we have to make sure Sunderland don’t get something to cling on to early in the game," the Hammers legend said. "They’ll make it difficult to score, try to frustrate the team and the fans. More than anything it’s about West Ham matching their effort, which I think will be there because they are only one point off the bottom three."
By going behind early West Ham would face an uphill struggle, as the atmosphere in the ground would become tense.
Sunderland supporters are likely to up the noise levels for Advocaat's first game, but optimism will be raised even further if they can take an early lead.
As a result, West Ham's task will be to frustrate the visitors. Sunderland are under severe pressure and if the Hammers can keep things tight, that will play into their hands.
Another poor performance from the Black Cats is likely to see an outpouring of anger from the travelling fans and West Ham will be hoping to make the atmosphere a hostile one for Sunderland's players to perform in.
*article edited for inaccuracies