The two big signings of Andy Carroll and Stewart Downing have been joined by the free transfer arrivals of Razvan Rat and Adrian, with teenage midfielder Danny Whitehead also moving to Upton Park from Stockport.
Carroll, who spent last season on loan at West Ham, became the club-record buy when he was brought in on a permanent basis from Liverpool earlier in the summer and he was joined by former Anfield team-mate Downing just over a week ago.
The transfer window remains open for another 11 days but Allardyce has admitted any further deals, whether buying or selling, would come as a surprise.
"I've got no money left, I've got the squad I've got, so that's it," he said.
"If there is to be a new player coming in, we have to sell some players but I'm not looking at doing it because I'm happy with the squad I've got at the moment.
"(It is) unlikely there will be any ins or outs , you never say never, but we're not actively looking for any players to bring in and we're not actively looking to sell any players either."
The window is likely to end with a number of clubs continuing or, in the case of sides such as Arsenal and Manchester United, starting to spend on improving their squads but Allardyce is unmoved and is not worried about the business completed by his rivals.
"I've got no panics going on," he said. "I'm not anxious about any transfers like a lot of managers will have because we've done all our business as quick as we possibly can and I think we've got a very good squad.
"Other teams are strengthening their squads considerably and obviously spending a lot more than we're spending but that's something you just have to deal with as the season goes on. We'll decide what strength all the other teams are once the window's closed."