Mikhail Antonio scored all four goals in the match to help the Hammers move further out of the relegation battle.
Norwich have only managed to record five wins and six draws from 35 matches all season, earning just 21 points with three games left to play.
Daniel Farke side’s biggest win of the season was a 3-2 over former Premier League champions Man City at Carrow Road back in September 2019.
And Norwich have lost their last six Premier League matches on a roll as well as a quarter final FA Cup defeat to Man United on their home turf.
They are now six points behind Aston Villa who host Crystal Palace in a must-win match at Villa Park to keep their survival hopes alive.
Bournemouth who are third from the bottom will also welcome Leicester City to the Vitality Stadium in a do-or-die affair for Eddie Howie’s side.
On the other hand, Watford came from behind to beat Newcastle by 2-1 to go level on points with West Ham as they are now six points clear above relegation.
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