The Hammers are unbeaten in four and now sitting in 11th spot, four points from the drop zone, but still 12 away from the 40 that usually ensures safety which Collins says they are striving for.
"The pressure is never off until you've got the sacred 40 points," he told the club's official website.
"We knew that, on Tuesday (2-0 win over Norwich City), that we'd gone into it with three good results and it would have been quite easy to think we'd done the job.
"But it was a massive game, we realised that, and to get the three points made it a big night for us."
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