Sam Allardyce has confirmed that he is in the market for a striker following another injury setback for Andy Carroll and the Hammers boss has been linked with a move for the 33-year-old.
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When asked if West Ham had made an approach for the much-travelled frontman, the Stoke boss told Sky Sports News: "No, absolutely not.
"It's just speculation - we understand that at this time of year - but we won't encourage anything."
"Peter was great for me last year - he's a key part of what we're trying to do this year.
"People assume that, if you bring quality in, quality people have to go out but that's not the case. We're looking to build a strong squad and add to the quality we already have.
"Peter was very much part of that quality last year and we expect him to stay."