The Hammers have recruited nine new players for the 2012-13 campaign and have also been linked with Liverpool duo Andy Carroll and Joe Cole.
"I don't see much at all, to be honest with you, in terms of ins," Allardyce told Sky Sports News.
"I think that our finances now are on the limit, as it were, speaking to our co-chairmen. I think that we'll work with what we've got.
"We'll never say never, you never know what might turn up. But if it's going to be anything, it's never going to get past a loan deal, I think."
West Ham host Crewe at Upton Park in the League Cup second round on Tuesday.