The Hammers picked up their seventh point of the campaign in the 0-0 draw against Norwich City on Saturday and Allardyce was able to introduce Modibo Maiga, Matthew Jarvis and Yossi Benayoun from the substitutes' bench.
The former Bolton Wanderers manager also pointed out that his side's successful start to the Premier League season had taken the pressure off his players.
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"The first time we had the squad together was on Friday, and looking at them I think we have some quality talent and strength-in-depth. That will stand us in good stead and the start we've had takes the pressure off."
West Ham spent sustained periods of the match at Carrow Road on the back foot and Allardyce admitted that he was satisfied to come away with a point.
"In the end it [the result] could have been anyone's the way it went," he said. "There were chances created by both sides and none taken, but in the end we got a clean sheet and a valuable point.
"We're satisfied with that because our finishing was not as good as it should have been and our final ball too. Three clean sheets in four games is a great base to build a successful team on."
Norwich manager Chris Hughton, meanwhile, was frustrated to see his team fail to collect three points despite another positive performance.
The Canaries had drawn their previous two matches against QPR and Tottenham despite arguably having the better of both games but Hughton insists results will come for his side if they continue to perform at the same level.
"There's a bit of frustration because on the back of three games I can't fault the performances or the chances we're getting," he remarked.
"Up against a strong, powerful West Ham team you have to cope with the way that they play and the problems they give you and I felt we coped very well. When we've got opportunities we need to show a little more quality and guile and maybe get some more fortune in the final third.
"I would be sitting here more concerned if we weren't creating chances. We are, and against quality teams you won't create loads of clear-cut chances, but I felt we did enough today – on the balance of the play we had enough to win."
Hughton was unconcerned, meanwhile, by the slow start to the season made by striker Grant Holt, who was Norwich's top scorer during the 2011-12 campaign.
"We want every player to show their best and strikers want to score goals," he continued. "That's what Grant has done and I'm quite sure that will be the case again.
"I think he started slowly last season as well. I don't think the summer has affected him – I can only speak as I've found things [since arriving] and he is focused on games and training.
"I'm sure with his quality, if he keeps getting in the right positions and we keep creating chances, it won't be long."