Kevin Nolan is keen to kickstart a strong end to the campaign with three points at West Bromwich Albion on Saturday.
The Hammers have been stuck on 37 points for the last three games after losing to Liverpool, Arsenal and Crystal Palace.
Nolan wants to end that losing run at the Hawthorns and, in doing so, secure mathematical safety for the Hammers.
He said: "It's been three games too long for us getting to 40 points. We've been disappointed with those results, especially as we were doing so well beforehand.
"You get punished at this level if you don't finish teams off and that's one of the factors why we are where we are going into the last three games.
"Hopefully we can go to West Brom, get the win and pull further away from the relegation zone, which will allow us to look up again for the last two.
"It's important for us to go out with a bang. We've got three major games coming up.
"After West Brom we've got the local derby next weekend, and that's going to be a great send off so hopefully we can send all our home fans home happy.
"Then after that we've got a lovely trip to Manchester where we could be playing against a team going for the title. That would be another fantastic fixture to be involved with.
"We're hoping that by the time we go there we'll be safe and go there with no real pressure and hopefully give them a good game. Who knows, with the quality we've got on our day we can beat anyone."
Nolan notched when the Hammers drew 3-3 with West Brom at the Boleyn Ground in December and he is targeting another goal this weekend - along with keeping the hosts quiet.
He explained: "We know they're fast starters, in the last few games they've gone up early doors and we can't afford to let that happen to us on Saturday because it's always hard to get back into it in the Premier League.
"They've had a couple of defeats in their last couple of games, but it's never easy in the Premier League, whoever you're playing. Every loose ball, everything is competed for, so we've got to make sure we match that on Saturday and if we do I'm sure our quality will shine through in the end.
"We need to silence them and then the anxiety levels go up. We sort of owe them one, because I thought we deserved to beat them at our place just after Christmas.
"I scored that day and they've dried up of late, but it's not through the lack of trying. The chances have not been there, so I'm hoping that me and the big man can get back into our routine, I get a couple of chances on Saturday and I stick them in the back of the net.
"Then we can all go home happy looking forward to another season in the Premier League."