A 2-0 victory at Sheffield Wednesday, before the global break, opened up a six-point lead over seventh-placed Fulham, and heading into this weekend Stam will be hopeful his side can solidify their place in the top-six.
Here, Football Insider states the three things we expect from Slaven Bilic's side during the Premier League encounter. However, Hull have lost 12 of their last 13 on the road.
West Ham should rectify this.
The match kicks off at 3pm on Saturday, April 1.
These lists should always have a wildcard, someone who doesn't always spring to mind, but who certainly could do a job, and that man for West Ham could be Martin Braithwaite.
Zuber started his career at Grasshopper in his home country where 21 goals in 119 games earned him a big move to CSKA Moscow in 2013.
What is the latest Hull team news? "He's been out for a couple of weeks because of the injury he had in a couple of games against Chelsea and Bournemouth, but he's back".
Tom Huddlestone is still serving a ban because of his red card against Everton's Idrissa Gueye.
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Perisic would have been a marquee addition for West Ham, having made his name with the likes of Borussia Dortmund, Wolfsburg and Inter Milan, whilst he also has a history with Bilic.
But there is bad news for Winston Reid and Michail Antonio, who are expected to miss out with groin and hamstring problems respectively.
Andy Carroll's 50th Premier League goal had give the Hammers a first half lead, but a second half fight back from Hull secured the points at the KCOM Stadium.
The 48-year-old has come under pressure after failing to build on last season's seventh-placed finish in the Premier League. But then we have to consider the amount of time he was out and hope he will be back if he continues like this very, very soon, but Hull game comes too early.
Marco Silva has extended his extraordinary unbeaten home league record as manager to 39 matches.
Robert Snodgrass is still Hull's top league scorer with seven goals, despite joining West Ham in January.
Capable of playing equally with his back to goal, as well as taking people on, the Belgium global would offer an interesting alternative to, or could even compliment, the target man option provided by Andy Carroll.