Slaven Bilic's side have endured a rocky campaign at their new London Stadium home, with the Hammers enduring a poor start to the season before finally steadying their form over the past month.
Indeed, West Ham remain unbeaten in the Premier League since losing 3-0 to Arsenal at the Emirates Stadium on 5 April, with their last two games against Everton and Stoke seeing the club keep two clean sheets.
With Bilic's side now hosting a Tottenham team who have won their last nine Premier matches, Fonte insists West Ham will give their all to try and secure wins over Spurs, Liverpool and Burnley and end the season on a high for their fans.
When asked about the goalless draw away to Stoke on Saturday, Fonte told West Ham's official website: "We spoke before the game at Stoke and we have experienced players in our dressing room.
"We want to win every game between now and the end of the season and finish on a high because obviously it’s important to fight for our badge, for our fans and also for ourselves.
"We will give everything and continue to work really hard because that’s the only way."
West Ham goalkeeper Adrian admitted this week the east Londoners want "revenge" against Tottenham at the London Stadium this Friday for the way Spurs snatched victory in the reverse fixture back in November.
In that game, two late strikes from Harry Kane sealed a last-gasp 3-2 victory for Mauricio Pochettino's side at White Hart Lane, which prevented West Ham from securing just their fourth league victory of the season.
With Tottenham in fine form and currently challenging Chelsea for the title, Fonte admits beating Spurs will not be easy - although he said he is relishing the challenge nonetheless.
"It’s a game we are all looking forward to," the Portugal international said.
"Obviously we know they are fighting for the title and they are playing really well and have a good manager and good players, but we’re at home and we want to make sure we beat them and give the fans something to be proud of.
"We will give our best to win the game and that’s all we can do."