West Ham have now won three of their last four games in the top flight and Allardyce attributed their latest victory to their quality in the final third.
"Our quality, especially with the first two goals, was the difference," Allardyce is quoted as saying by BBC Sport. "They were two outstanding crosses and two outstanding headers.
"Diafra Sakho is a determined lad, and he has six [goals] in all games now. We look like we have goals in the team. And I'm pleased for Enner Valencia as well because he wanted to play after international duty."
West Ham are back in action next Saturday when they host champions Manchester City in the Premier League.