Leicester, who won six of their next eight games to avoid what had seemed inevitable relegation, welcome the Hammers back to the King Power Stadium on Sunday needing three more victories to seal their first English top-flight title.
Claudio Ranieri's team have only lost three times in 33 league matches this season and will move 10 points clear of their only serious remaining challengers Tottenham Hotspur with a sixth successive win. Spurs face Stoke City on Monday.
Leicester opened up a 10-point gap last week when they kept a fifth successive clean sheet to beat relegation-threatened Sunderland 2-0 while Spurs reduced the gap to seven points when they plundered three goals in six minutes to beat Manchester United 3-0 at White Hart Lane.
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Spurs almost certainly need to win to keep the title race alive and although his team are within touching distance of the finish, manager Ranieri is not looking forward to the run-in.
"The last five matches will be terrible because nothing is decided yet as far as the title is concerned," he said.
"Tottenham are not giving up and we have to stay focussed. Our mission is to do the best we can -- then if Tottenham overtake us we will compliment them it is the law of sport."
Leicester have 72 points from 33 games and Spurs 65 from 33, six points clear of Arsenal whose manager Arsene Wenger virtually conceded his team blew their chance last week after losing a two-goal lead in a 3-3 draw at West Ham.
Arsenal do have a game in hand on their arch-rivals Spurs and are determined to maintain their record of never finishing below them in the 20 seasons Wenger has been in charge.
They face Crystal Palace, who drew 0-0 with Everton on Wednesday, and it would be surprise if Arsenal slipped up in a second successive London derby.
Manchester City, who qualified for the Champions League semi-finals for the first time on Tuesday, visit mid-table outgoing champions Chelsea, determined to stay ahead of their local neighbours United, who beat West Ham 2-1 on Wednesday to reach the FA Cup semi-finals.
United, in fifth and four points behind City, face virtually doomed Aston Villa at Old Trafford with the visitors needing victory to have any chance of avoiding dropping out of the top tier for the first time since 1988.
(Editing by Ed Osmond)
