Avram Grant's side slipped to the foot of the Barclays Premier League table with a 3-0 defeat at Chelsea on Saturday.
The scoreline flattered the champions and the Hammers had plenty of chances to score, the most notable of which fell to Robbie Keane, who blasted wide from eight yards to waste a golden opportunity to make the score 1-1 with 17 minutes left.
Misfiring: West Ham's strikers, including Carlton Cole (left), have gone off the boil
West Ham have only scored four times in their current six-match winless streak and Gabbidon believes that must improve in their remaining four games if they are to avoid the drop.
'It seems the same old story that we never take our chances,' the central defender told West Ham TV.
'We play well and create and never get the result. So it is disappointing. We put in a lot of hard work and we had chances to score and when they had their chances, they took them.
'For long parts of the game we did well and 3-0 is really disappointing.
Body blow: Fernando Torres (right) scores against West Ham
'I can't really take any pride as a defender from my performance as we lost 3-0 so I am disappointed.'
The Welshman insists, however, that a repeat display of the one at Stamford Bridge in the club's remaining fixtures against Manchester City, Blackburn, Wigan and Sunderland will ensure their survival.
'If we can show that kind of fight and performance in all aspects of the game, we can stay up,' Gabbidon said.
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