West Ham take on the Toffees on Saturday and Allardyce believes that limiting Lukaku's impact on the match will be key.
The 22-year-old striker has proven to be a handful for defences across the league this season and Allardyce wants his centre-backs to keep a close eye on him.
"We have to make sure we stop Romelu Lukaku because he always scores against us, that’s something we have to do. He scores every time we play them," he said.
Lukaku has indeed scored against West Ham in the two games he has played against them this season so the Hammers' defenders will know of his threat.
Stopping Lukaku can be a difficult task, though, as his pace and power make him a natural target for Everton to build their attacks around.
The youngster has scored 19 times in all competitions this campaign and he will be looking to break the 20 barrier by the time the season finishes.
If he can then it will have been another productive year for the youngster and he will be hoping to push on again next term, with Everton looking to claim a European spot.