Both sides have weekend wrongs to right on December 3, as the Foxes were pummelled 4-1 by Brentford on Saturday, a couple of hours before Julen Lopetegui's side were on the wrong end of a 5-2 scoreline versus Arsenal.
Match preview
Watching on from the comfort of the stands alongside Leicester chairman Aiyawatt Srivaddhanaprabha, Van Nistelrooy - who was confirmed as Steve Cooper's replacement on a three-year contract on Friday - was given plenty to ponder as he witnessed the Foxes fumble a one-goal lead at the Gtech Community Stadium.
Facundo Buonanotte's fourth goal of the Premier League season briefly silenced the Brentford contingent, but the Bees proved that their sting remains as potent as ever at their headquarters, where glistening German Kevin Schade set up Yoane Wissa before registering his first-ever senior career hat-trick.
Saturday's comprehensive defeat under the management of Ben Dawson represented a third straight loss for a leaky Leicester, who had previously been conquered by Chelsea and Van Nistelrooy's Manchester United during the last weeks of Cooper's reign, dismal results that have contributed to their 16th-placed ranking in the Premier League table.
The 2015-16 top-flight champions only have a one-point buffer over all of Wolverhampton Wanderers, Crystal Palace and Ipswich Town with a third of the season gone, and for all of Van Nistelrooy's offensive talent during his playing heyday, shoring up Leicester's fragile backline must be priority number one.
Indeed, the Foxes have now conceded at least three goals in four of their previous six matches in all competitions, although the King Power faithful almost always have something to cheer; Tuesday's hosts have scored in all seven of their home matches in all competitions so far this season, albeit netting just once in six of those contests.
Last season's six-goal shellacking at the hands of Arsenal would ostensibly be the lowest London derby ebb that West Ham could suffer, but the Irons were on course to suffer an even more humiliating beatdown on Saturday, when Mikel Arteta's men hit four inside the opening 36 minutes.
Two quickfire strikes from full-back pair Aaron Wan-Bissaka and Emerson Palmieri ensured that West Ham would avoid that same 6-0 fate as they momentarily gave rise to an unbelievable comeback, which was immediately stopped in its tracks when Bukayo Saka stroked home Arsenal's second penalty of the evening.
A record-equalling seven-goal first half preceded a scoreless second at the London Stadium, which suited Arsenal down the ground but triggered the early exits of hundreds of Hammers supporters as their side's two-game unbeaten run came to an abrupt end.
When the Irons are beaten, they are beaten to a pulp - each of their last five defeats have been by at least three goals - and Lopetegui's position remains under serious threat while the 14th-placed Hammers languish perilously close to the danger zone.
Inspiration can be taken from West Ham's last successful away day at Newcastle United, but Leicester did the double over the former Conference League champions during the 2022-23 campaign, following up a 2-0 away win with a 2-1 home success before falling through the trap door.
Leicester City Premier League form:
W
L
D
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L
Leicester City form (all competitions):
L
L
D
L
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L
West Ham United Premier League form:
L
W
L
D
W
L
Team News
Leicester's defensive efforts on Saturday were not aided by an early injury to Caleb Okoli, who was involved in a collision with his own goalkeeper Mads Hermansen while trying to prevent Wissa from equalising for Brentford.
Okoli's status remains unclear at this juncture, but Van Nistelrooy should introduce Jannik Vestergaard into the first XI for his inaugural game, where he will be deprived of Abdul Fatawu (ACL), Harry Winks (groin), Ricardo Pereira (thigh) and Jakub Stolarczyk (ankle).
Dawson's decision to start with a back three against Brentford did not pay dividends, and Van Nistelrooy should revert to a four-man rearguard on Tuesday, his favoured setup during his time in charge of PSV Eindhoven and - momentarily - Man United.
As for West Ham, Lopetegui will receive a significant attacking fillip for Tuesday's game in the shape of Mohammed Kudus's return from a five-game suspension, and the Ghana international has every right to expect an immediate recall to the XI.
Crysencio Summerville was sacrificed at half time in the Arsenal defeat and will likely make way for the eligible-again Kudus, and there is still a slim chance that Niclas Fullkrug (calf) could be fit to face Leicester.
Jean-Clair Todibo also recovered from his knock at Newcastle to start the weekend's derby, but ex-Arsenal man Dinos Mavropanos was left out of Saturday's matchday squad after contracting an illness and is a doubt.
Leicester City possible starting lineup:
Hermansen; Justin, Faes, Vestergaard, Kristiansen; Ndidi, Soumare; Decordova-Reid, Buonanotte, Ayew; Vardy
West Ham United possible starting lineup:
Areola; Wan-Bissaka, Todibo, Kilman, Emerson; Alvarez; Bowen, Soler, Paqueta, Kudus; Antonio
We say: Leicester City 2-2 West Ham United
The quintessential new manager bounce may benefit Leicester on the attacking front, but their defensive vulnerabilities will not be fixed overnight, and a Kudus-reinforced West Ham will surely strike at least twice at the King Power.