David Moyes has not set West Ham a points target to ensure their survival in the Premier League.
The Hammers remain in the relegation battle, although their recent improvement in results has moved them within six points of the bottom three with one game less in the teams around them.
“I don’t think it’s fair to say what we need to stay on top, but we still need to get more points,” West Ham manager Moyes said.
“If we get more, it means the teams below us need to get more too.
“Other results do matter at this point in the season, but the most important thing is to take care of your own business.”
West Ham host Liverpool on Wednesday night after a profitable week that saw them come from behind to draw 2-2 with Arsenal, reach the Europa Conference League semi-finals and beat Bournemouth 4-0.
“We are coming off a 2-0 loss against Arsenal and it has given us a lot of confidence,” added Moyes.
“We had a very good win at the weekend, but now we have another incredibly difficult opponent who have been among the best teams in the world of late, not just in the Premier League.
Moyes turned 60 on Tuesday and is the second-oldest manager in the Premier League, though still 15 years younger than Roy Hodgson, who recently returned to Crystal Palace.
“I’m delighted that Roy is back, for all those reasons,” he said.
“It didn’t seem right to be the oldest manager in the Premier League, but that’s what longevity does to you. Roy has shown that hopefully there are many more years to go.”
Gianluca Scamacca is West Ham’s only injury dropout. The Italian striker has undergone knee surgery and it is unlikely that he will feature again this season.