The Hammers are still in the top-four race following a valuable 1-0 win over Wolves last weekend.
The January transfer window proved frustrating for West Ham, but Moyes insists it won't come back to haunt them as the season winds down.
"It'd be unfair to just mention us - lots of clubs didn't buy players in January for different reasons," he said ahead of Wednesday's FA Cup fifth round tie away at Southampton.
"We were very serious in trying to bring players in, but for different reasons it didn't happen.
"The squad I've had at the moment has done a brilliant job in the last two years and I have no reason to think they wouldn't do a brilliant job in the final months of the season."
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