The Hammers looked to be pushing for a European place earlier in the season but are currently 10th in the Premier League on 47 points ahead of their penultimate game.
Allardyce is set for talks over his future at the season???s conclusion, with his contract set to expire in the summer.
And he said: “We want to get over the 50-point mark. We’re all hugely disappointed that we haven’t managed it yet and we should have done it by now.
“We could easily be in the mid 50s but due to a few lapses in concentration we’re not quite there. Hopefully on Saturday the boys will go out and put away the chances that we will create. We want to win our last home game and try and to enjoy the game.
“We’ve been able to enjoy the majority of the season. We haven’t brushed with relegation this season at all, not for a minute. We’ve scored more goals and got more points.”
Allardyce???s side face Everton at Upton Park on Saturday and he admits his team need to concentrate on containing visiting striker Romelu Lukaku.
The Belgium international has scored twice against West Ham this season and Allardyce fears his threat.
“We have to make sure we stop Lukaku because he always scores against us, that’s something we have to do. He scores every time we play them,” he said.