The Old Trafford outfit has struggled under David Moyes, but is hoping the Champions League victory over Olympiakos proves to be the catalyst for a change in fortunes.
Robin van Persie lifted the gloom at Old Trafford by scoring a hat trick as United overcame a two-goal first-leg deficit by beating Olympiakos 3-0 in the Champions League on Wednesday to progress to the quarterfinals.
A 3-0 home defeat in the top flight against fierce rival Liverpool on Sunday had raised more questions over the future of manager David Moyes, so the fightback against the Greek champion was a much-needed tonic for the Scotsman.
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Seventh-placed United now turns its attention back to a disappointing Premier League campaign as the club attempts to make up ground on the teams above it, and Phil Jones is eager to build momentum for the remainder of the campaign - starting with Saturday's trip to Upton Park.
The England defender said: "I think the Olympiakos game has got to be a springboard for us.
"It was a huge night. We have to use this as an impetus to go and prove that we can win game after game.
"We let ourselves down on Sunday [against Liverpool] so it was good to get the win for us and the fans.
"They have something to smile about now and hopefully we can kick on."
United has won its last two league games on its travels and not conceded in three on the road, but the team will have to do without captain Nemanja Vidic as he starts a two-match ban following his red card against Liverpool.
Van Persie's fitness will be assessed after he was carried off late on against Olympiakos with a knee injury.
Defenders Chris Smalling [hamstring] and Jonny Evans [groin] are expected to miss out once again.
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Moyes' men consigned the London club to a 3-1 defeat when the two sides met at Old Trafford back in December and Sam Allardyce's charges go into the game on the back of defeats at Everton and Stoke City.
West Ham has won its last three home games though, and Allardyce believes the club needs at least another seven points to be guaranteed safety as it sits six points ahead of third-bottom Sunderland but Gus Poyet's side has two games in hand.
When asked how many points will be needed to avoid the drop, the former Newcastle United manager said: "I think probably about 38. Then again, with nine games to go, some have 10, it's swings and roundabouts more than ever before."
Defender Joey O'Brien [dislocated shoulder] and striker Marco Borriello [calf] will play no part for the home side.