Vaz Te scored the Hammers' second goal at White Hart Lane as they stunned their hosts 3-0.
Sunday's victory has seen West Ham move up to 13th place in the table.
"The gaffer got his tactics spot on, to be fair," Vaz Te told the club's official website. "We worked on their weaknesses.
"We knew Tottenham were a great team going forward but any team who plays like that always have weaknesses defensively. We worked on it all week and it paid off."
West Ham continue their Premier League campaign on October 19 when they welcome Manchester City to Upton Park.