The Hammers up to 10th in the table with their third straight 2-0 win on Tuesday, as late goals from James Collins and Mohamed Diame were enough to secure three points against Norwich City.
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"[It was] a hard-earned victory - Norwich gave us a fantastic game," he told reporters. "Late on in the game, we produced what we needed to. [It was] an outstanding victory for us.
"We're absolutely delighted we've got three wins on the trot, [it's] a terrific run of form we're in, [but] we're still not out of the bottom end in terms of the distance in points, [which is] still not that great."
Allardyce went on to pay tribute to his rock-solid defence, having now kept 13 clean sheets in 26 Premier League games this season - the highest number in the division.
He continued: "Norwich had the better of the second half but, when you're as good as we are defensively, then you've got to [defend well] then wait for the right opportunity.
"Now we're in a scoring mood and, because we're brilliant at keeping clean sheets, that's picking us up win after win after win."