Collins headed West Ham into the lead in the 84th minute when he courageously flung himself at Diame's low cross before the midfielder ensured the victory deep into injury-time when he turned the ball home as the Canaries chased an equaliser.
Chris Hughton's Norwich probably deserved at least a point from the fairly even affair but it wasn't to be as Sam, Allardyce's men, led by goalkeeper Adrian's first-half performance, got the job done.
West Ham are now undefeated in their past four outings having not conceded a goal during that unbeaten run while the Canaries have failed to win in four which seems them sitting 16th, just a point above the drop zone.
2013/14 Barclays Premier League season scores
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