The Hammers head into their final match at home to relegated Reading having already secured top-flight status after an impressive first campaign back up under Allardyce, who has recently signed a new two-year contract.
However, more tough challenges await the east London club as they look to become established in the Premier League ahead of their move to the Olympic Stadium.
West Ham are expected to be busy over the summer, and have already been linked with moves for the likes of Celtic forward Gary Hooper and Vitesse Arnhem's Wilfried Bony, top scorer in the Dutch league as well as veteran Italian midfielder Massimo Ambrosini, who is out of contract at AC Milan.
Allardyce accepts no matter how hard clubs might work to improve the squad, the additional financial outlay does not always correlate directly to more consistent results.
"For the small improvement, it is a considerable amount of millions which is needed today, that is the difficulty we all face," Allardyce said on talkSPORT.
"You buy a £10million player or a £12million player today and everybody expects the team to improve by 15 or 20 per cent, but often it is only by one or two per cent.
"The size of the fees for players and wages just don't relate to how much they improve the team.
"That brings more and more pressure on you as a manager in trying to improve the side.... but the money needed today is astronomical."
New Financial Fair Play rules in the Premier League next season will also impact on how much of the bumper new television income can be spent on wage bills.
Allardyce admits those changes represent uncharted water for member clubs, and last month suggested it could impact on West Ham's ability to look to make a loan move for England forward Andy Carroll into a permanent transfer.
"We have got some funds available, but the financial restrictions kick in this year and those funds will be restricted," he said.
"We have to be careful where, and how, we spend our money to try and improve the side, which is something we must do.
"It is worrying for everybody and we will have to see how it works out. It makes life that little bit more difficult.
"But we will have to learn to deal with it and, hopefully as a team we can get better despite those restrictions."
Key to West Ham staying clear of the dogfight for survival - which was ended when FA Cup winners Wigan's relegation was confirmed following their 4-1 defeat at Arsenal on Tuesday night - has been form at Upton Park.
They have lost only four league games at home, in stark contrast to 12 defeats on the road.
A ninth home victory would cement a 10th-placed finish.
Allardyce said: "We have had outstanding consistency at home from the players, which is where our success has laid this season.
"Away from home we have found it more difficult, but the home form and performances have thrilled everybody.
"There has hardly been a game not sold out, which tells you everything about what West Ham have tried to do this season."