The Hammers are looking for a response having been thrashed 4-1 by London rivals Tottenham, in a game which Slaven Bilic's men looked second best in throughout.
Now without a victory in three games, West Ham need to get back to winning ways to prevent this mini-slump, but that will be so much more difficult without star playmaker Dimitri Payet.
Their opponents West Brom have been inconsistent of late, having won four and lost four of their last eight Premier League games, but they had a superb 2-1 win over Arsenal last week.
Tony Pulis has built a stubborn Baggies side who will go to Upton Park with confidence that they can get a result - but Lawrenson doesn't agree.
The pundit told BBC Sport that he thinks West Ham will hit back with a 2-1 win today, and focused his attention on the role of Andy Carroll.
The giant striker was anonymous against Spurs as West Ham failed to build meaningful counter-attacks due to Carroll's lack of pace and poor decisions in possession.
Today though, Lawrenson believes that Carroll will be a huge factor, suggesting that West Ham may look to get on the front foot more and get the ball forward rather than just play on the counter-attack.
"West Brom had an excellent win over Arsenal in their last game - they only had one shot on target but won 2-1 because of Mikel Arteta's own goal, how good is that?" said Lawrenson.
"Meanwhile, West Ham were taken apart by Spurs, and were very poor. However, the Hammers might chuck Andy Carroll up front because they are at home on Sunday, and I think they will pose much more of a threat this time," he added.
What's your prediction for West Ham v West Brom?