Tony Pulis insists Albion must not rest on their laurels after the Baggies reached 40 points before the end of February.
The Baggies edged past Bournemouth to get to the magical 40 points mark with goals from Craig Dawson and Gareth McAuley.
But Albion had Ben Foster to thank after the keeper made two excellent saves in injury time to keep the Baggies in front.
"It's a great achievement to get 40 points by this time, so we're all pleased," said Pulis.
"It's been a great season so far, but we don't want to let it go flat.
"Look at Claudio Ranieri and Leicester - as soon as you become complacement, this game has an unbelievable way of kicking you up the backside."
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