The Foxes have a fine recent record in this fixture, for they have lost just one of the last eight meetings between the sides - that defeat, though, came at this venue last season and the Hammers will be hoping for a repeat on this occasion.
Claude Puel's charges are chalked up as William Hill's 23/20 (2.15) favourites to win this one, with the odds compilers offering 12/5 (3.40) that both sides are forced to settle for a share of the spoils on Saturday evening.
West Ham have won just two of their last 10 Premier League matches away from home and the east Londoners can be backed at 12/5 (3.40) to take all three points this weekend.
The problems are piling up for Manuel Pellegrini after Andriy Yarmolenko joined Jack Wilshere, Carlos Sanchez, Andy Carroll and Manuel Lanzini on the long-term injury list.
Matty James and Demarai Gray remain out for the Foxes through injury and Wes Morgan misses out as he completes a two-match suspension after being sent off for the second time this season in the defeat to Everton earlier this month.
Jonny Evans is in pole position to deputise, having done so against Arsenal on Monday.
West Ham have failed to find the net in four of their last six Premier League matches, although Pellegrini's men did score three goals in both matches in which they did find the target.
Scoring goals has not proven problematic for the Foxes as Leicester have scored in each of their nine league matches so far this season, and William Hill go 6/5 (2.20) that the hosts score two or more goals against the Hammers.
Leicester have found the net at least twice in five of their last eight matches against West Ham.
The injury-hit Hammers have managed just one clean sheet in their nine Premier League matches this term and value could lie in backing Leicester at 6/5 (2.20) to score more than one goal at King Power Stadium on Saturday evening.