The Hammers captain still wants a top-six finish but insist the club have already got a great deal to cheer.
West Ham United captain Mark Noble has told the club's official website that even if his side are unable to break into the top six of the Premier League this season they still have three achievements of which they can be proud.
The Hammers are currently seventh in the league table ahead of a crunch clash with Manchester United in their final match at Upton Park on Tuesday night which could end their hopes of finishing higher than their current position.
It has been a stellar season for West Ham whatever their final league position with the club having reached 59 points after 36 matches, their highest total in the Premier League era and the most they have accumulated since 1986, when they finished third in the old First Division with 84.
They have also scored the most goals of any of their top-flight seasons since that same campaign, with their total of 61 only currently being beaten by champions Leicester, Tottenham Hotspur, and Manchester City this term.
If that wasn't enough, Noble believes they should also be proud of the fact that no side has done the double over them in the league this season, something that cannot change even if they lose to either United or Stoke City on the final day.
Noble is still chasing a top-six finish, of course, but he cited those three statistics as reason enough for his side to be proud of what they have achieved in what is a hugely significant and historic campaign for the Hammers.
The 29-year-old told the club's website: "We still have a chance of finishing in the top six, but to do so we will need to play well, both on Tuesday night and at Stoke on Sunday. Whatever happens, we have so many things to be proud of this season – a season I have enjoyed more than any other in my career.
"We have set a new record for points and goals scored in the Premier League and we have not been doubled by anyone – a hat-trick of achievements in what is a really difficult league full of top teams."
If the Hammers can beat the Red Devils in their last match at their traditional old home, they will leapfrog Southampton into sixth place and move to within a single point of United ahead of the final day of the season.
However, defeat would leave them unable to catch Louis van Gaal's side and would give the Saints pole position to secure sixth when they host Crystal Palace on Sunday.