Ahead of the match, ex-Liverpool defender Mark Lawrenson has predicted a 2-0 win for the Hammers.
Everton suffered a big blow last week in their race for the European spot as they lost 2-1 against Aston Villa at Goodison Park.
The Toffees are going through a bad spell at the moment, recording just one win in their last eight games in all competitions.
West Ham defeated Everton in the reverse fixture, and Lawrenson believes that the Hammers will get another similar result today.
The Hammers returned to winning ways last week by beating Burnley 2-1 at Turf Moor.
He said to BBC Sport: “West Ham were very impressive when they beat Burnley last weekend.
“I thought they were tailing off a bit after losing their previous two games, but they looked really strong at Turf Moor.
“Everton are much better on the road than they are at home, but I think they are in for a difficult day in east London.
“The Hammers beat them at Goodison Park in January, and I am expecting them to do the same at London Stadium on Sunday.”
West Ham have been very impressive this season under David Moyes and have a great chance of finishing in the top four.
The Hammers are fifth in the Premier League with 58 points from 34 games. They are five points behind fourth-placed Leicester City, having played a game less.
West Ham have a relatively easy set of fixtures compared to their rivals, facing Brighton & Hove Albion, West Bromwich Albion and Southampton in their last three games.