Albion boss Tony Pulis insisted his side deserved all three points after their opening day 1-0 victory at Crystal Palace.
Salomon Rondon continued his good form in an Albion shirt when he flicked home James McClean's inviting free kick in the 74th minute.
The striker had Albion's best effort before the break when Palace stopper Wayne Hennessey did well to save his glancing header.
Jonas Olsson and Saido Berahino also went close before Rondon's opener.
"It was not a fluke. I think we deserved it. Palace never created a lot, they had just long range shots really. I'm very pleased," he said.
"It is more important that we stay in the Premier League and Saido Berahino's goals will help us do that. We're hoping and praying we can keep him."
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