The Irons head to Southampton on Sunday without England forward Andy Carroll once again, and will be for some time as the 24-year-old aims to recover from a foot injury suffered just as he was set for a return after an Achilles problem.
Allardyce brought in veteran Croatian international Mladen Petric as cover ahead of the transfer deadline, but he is not yet match fit, meaning Mali frontman Modibo Maiga and captain Kevin Nolan are set to provide the main attacking outlets at St Mary's Stadium, where West Ham will aim to recover from the disappointing home loss to Stoke before the international break.
"We play according to the strengths of the team. We generally play a different way every game to be honest," said Allardyce.
"My life is always about studying the opposition and asking the team to maybe play the same system, but in a different way to nullify the opposition's strengths and expose their weaknesses.
"There are always subtle differences that I ask the players to remember and think about in order to try and achieve the top goal, which is the victory and three points."
Allardyce was keen to use the international break positively, and took those players not involved for their countries away for short training camp in Spain to maintain focus levels.
"The team went out and had a very good game in Espanyol on Thursday, that went okay, to give some players a good first-team competitive edge. I think the squad, in terms of where we are at the moment, is looking fit and raring to go," added the Irons boss, who revealed midfielders Joe Cole and Stewart Downing remain sidelined this weekend.
West Ham will come up against man-of-the-moment Rickie Lambert on Sunday, the Saints striker have grabbed his England chance following Carroll's unfortunate injury setback.
"He has been very, very good," Allardyce said. "It has been a major help for (England manager) Roy (Hodgson) and the injury problems he has had.
"Rickie stepping in and doing a great job has been greatly received by everyone. It is great for him, great for his club and also great for England. It has got him a very critical point at a place that is very difficult to play in."
Southampton have made good progress under Mauricio Pochettino since the arrival of the Argentinian in January.
Crucially, the south-coast club which helped produce the world's most expensive footballer have held onto key youngsters such as Luke Shaw, James Ward-Prowse and Adam Lallana as well as bringing in quality additions like Victor Wanyama and Pablo Osvaldo.
Allardyce believes it is an impressive model of progressive ambition.
"Southampton have not only spent money, but have developed their own players, with I think three players under-21 in the side," he said.
"Now they have got into the Premier League, instead of selling them, they are keeping hold of them - it is not like when Theo Walcott, Gareth Bale and Alex Oxlade-Chamberlain all left, they are staying and then are adding to the squad to make themselves more sustainable in the Premier League.
"That is your first priority, and you then try to build from there, but the problem is, nobody is patient enough to let you grow gradually.
"If you can do that, then you can sustain yourselves in the Premier League for a long period of time."