The Foxes enter the game needing just three wins to clinch the Premier League title after a quite remarkable season under manager Claudio Ranieri.
After beating Sunderland 2-0 last weekend, Leicester are closing in on the title, and can take a huge step towards that goal by beating West Ham today.
The Hammers have drawn each of their last three Premier League games as their bid for Champions League qualification has fallen by the wayside, and they were dumped out of the FA Cup by Manchester United on Wednesday night.
West Ham still have plenty to play for, with Europa League qualification not quite tied up just yet - and Mark Lawrenson, who has become known for predicting defeats for West Ham this season, even thinks that a mini-slump until the end of the season could be on the cards for Slaven Bilic's men.
Lawrenson told BBC Sport that West Ham striker Andy Carroll won't strike fear into the Leicester defence, and confidently believes Leicester will win the game 2-1, opening up a ten point lead at the top of the Premier League table.
"Leicester are not playing a West Ham side who are on a really good run; they are playing a team who have just come off the back of one," said Lawrenson. "This might be the start of a mini-slump for the Hammers - they have drawn their past three games in the Premier League and went out of the FA Cup to Manchester United too."
"West Ham striker Andy Carroll is fully fit and will scare a few defences but not Robert Huth and Wes Morgan. They will be ready for him. Again, Leicester play before Tottenham, so can open up a 10-point lead again if they win, which is what I think will happen. The Foxes hardly ever seem to find themselves chasing a game - in their 15 league games since losing to Liverpool on Boxing Day, they have been behind for a total of 20 minutes. It's amazing," he added.
What's your prediction for Leicester City v West Ham United?