The Hammers have struggled for goals since their opening day 2-0 win over Cardiff.
And Allardyce has conceded that Lukaku slipped out of his grasp.
"I chased him all summer to be honest," he said.
Sam Allardyce had a long-standing interest in Lukaku [GETTY]
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"But when it became the final day of the deadline we missed out an Everton managed to secure his position.
"We were more or less told he was going back to West Brom. We tried, but didn't manage to clinch it."
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