Manchester United signed Brazil forward Matheus Cunha from Wolves in a deal worth a reported £62.5 million ($83 million) on Sunday.
A return to Europe's elite tournament is estimated to be worth at least £70 million ($93 million) to United and would allow Amorim more resources to rebuild his squad.
Three days after United reached the Europa League final, they were brought back down to earth by another lowly side in the Hammers, with the London club recording their first top-flight win at Old Trafford since 2007.
Tottenham kept alive their hopes of ending a 17-year trophy drought and saving Ange Postecoglou from the sack as they beat Bodo/Glimt 2-0 on Thursday to book a Europa League final clash against Manchester United.
Manchester United beat Athletic Bilbao 4-1 in the Europa League on Thursday to complete an emphatic 7-1 aggregate victory, setting up a mouthwatering final against Tottenham.
Ruben Amorim says nothing will change if he wins the Europa League with the "worst" Manchester United team in Premier League history.
Ruben Amorim admitted Manchester United "need to change" after a dismal 4-3 defeat at Brentford on Sunday underlined the problems facing the Old Trafford boss.
The Red Devils have had an atrocious domestic season, languishing in 14th in the Premier League, and some of their most established players have come in for heavy criticism.
Winning the Europa League is their only hope of making a return to the Champions League next season, and the riches Europe's premier competition brings -- a possibility that somehow still remains in their sights.
Manchester United coach Ruben Amorim insisted he understands the criticism levelled at him and his team after another Premier League loss at Newcastle United on Sunday, but claimed losing games is worse than any personal condemnation.
Tuesday's loss takes United to within one of their record of 14 Premier League defeats in the 2023-24 season, leaving them languishing down in 13th in the table as Amorim struggles to instigate any real change.
The 30-year-old Portuguese star has been linked in recent days with a £90 million (107.4 million euros) switch to Spanish giants Real.
United, who travel to face high-flying Nottingham Forest on Tuesday, are a lowly 13th in the Premier League, 12 points off the top four with just nine games to go.
Thomas Tuchel has insisted Harry Maguire will "always be in contention" for England despite overlooking the Manchester United defender for his first two games in charge.
Real Sociedad's Mikel Oyarzabal coolly netted a penalty to hold Manchester United to a 1-1 draw in a Europa League last 16 first leg clash on Thursday.
Manchester United's dismal season hit a new low as the FA Cup holders crashed out after a 4-3 penalty shoot-out defeat against Fulham in the fifth round on Sunday.
Manchester United boss Ruben Amorim described his side as "soft" despite fighting back from 2-0 down to salvage a 2-2 draw at Everton on Saturday.
Bruno Fernandes inspired a Manchester United rally from two goals down to avoid another damaging defeat for Ruben Amorim in a 2-2 draw at Everton on Saturday.
The 22-year-old has been one of the few bright points in a campaign to forget at Old Trafford.