Allardyce and his players are now all that stand between City and a second Premier League in three years, and a point at the Etihad will be good enough barring a 13-goal victory for Liverpool over Newcastle.
The omens are good for Manuel Pellegrini's side - in three previous meetings with West Ham this season they have won three times and scored 12 goals - but Allardyce has a personal motive for spoiling City's title party.
He said: "From a neutral's point of view I think everybody would like to see Liverpool win it, and from a personal point of view I'd like to see Steven Gerrard win it.
"It's the last thing for him which he hasn't quite achieved at Liverpool. He's been a one club man all his life. Obviously they've let it slip out of their hands. They had it to take, but they've now left it in the hands of Manchester City.
"We all know Man City in full cry are very difficult to play against. We've got to go out there and give a fantastic performance to stop them trying to grasp the title on that day.
"Of course that will be hugely difficult - this is the best team at home in the league. They've only lost once, against Chelsea, their goal record is fantastic and they've got great, great players.
"So every player on top of his form, every player can go out and give everything they've got from the basis we're already in the Premier League next season.
"Let's try and spoil Manchester City's party."
West Ham will have to contend with the threat of Sergio Aguero who returns from injury. The Argentina international missed the midweek victory over Aston Villa after suffering a groin strain during the first half of last weekend's 3-2 win at Everton.
Aguero, City's top scorer this season with 28 goals, was also rated doubtful for the visit of the Hammers to the Etihad Stadium but Pellegrini has revealed he will have a fully fit squad at his disposal.
"The whole squad is fit," said Pellegrini, whose side need only a draw to secure the Premier League crown.
"It is very important. If you have your whole squad you can choose between all your players - that is the most important thing for a manager."
Pellegrini has attempted to play down the importance of the game as City look to pip Liverpool to the title.
He said: "It is a very important weekend because it is the last game - it is the work from the whole year - but also it is a normal game because I think the best way to do it is to repeat what we did the whole season so far here.
"I think it is very important for the manager to be calm, to try to repeat what we did the whole year preparing for the games here at home.
"It is one game more that we must play here and we must prepare in the same way."
The 60-year-old Chilean, whose side are two points clear of the Reds, insists he will be able to control his nerves on Sunday.
He said: "After so many years I think it is very important to control your emotions because when you have to take decisions under emotion, normally you will do it in the wrong way."
Pellegrini also insists he has no interest in playing for a draw against West Ham.
"Every team must play every game to win," he said. "It doesn't matter in which conditions they are playing, every team must want to win."
Watch the climax to the Premier League title race live on Sky Sports this Sunday. Manchester City v West Ham is live on Sky Sports 1 from 2pm, and Liverpool v Newcastle is live on Sky Sports 2 from 2.55pm...