The visitors began brightly and were rewarded with the opening goal just three minutes into the game.
The hosts did not have to wait long to draw level, however, Andre Dozzell splitting the Hammers defence with a through-ball to Ellis Harrison, who deftly poked past Lukasz Fabianski in the 15th minute.
Both sides continued to trade blows, but the game's third goal would be scored by the Hammers on 70 minutes as Marko Arnautovic burst through the middle and calmly slotted past Bialkowski.
IPSWICH TOWN: Bialkowski, Spence (Emmanuel 82'), Woolfenden, Chambers, Knudsen (Kenlock 71'), Downes, Dozzell (Ward 79'), Edwards (Roberts 82'), Nydam (Chalobah 75'), Sears, Harrison (Lankester 82')
WEST HAM UNITED: Fabianski, Fredericks, Balbuena (Diop 71'), Ogbonna, Masuaku (Zabaleta 71'), Obiang (Rice 71'), Kouyate (Noble 46'), Yarmolenko (Haksabanovic 63'), Wilshere (Snodgrass 46'), Anderson (Martinez 63'), Arnautovic (Cullen 81')
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