Both clubs have had good starts to their respective Barclays Premier League seasons but West Brom have lost three league games in a row heading into the clash.
The Hammers lost at home to Liverpool last weekend after beating European champions Chelsea the previous Saturday and Nolan wants to return to winning ways against West Brom.
"We are really looking forward to going there and matching them, because they are a fantastic side," he said.
"We hope that their bubble has burst a bit and we can go there on Sunday and get a result. They will be a tough side to come up against, I don't think I have ever been involved in an easy game at The Hawthorns, but we go there with confidence."
As well as playing Chelsea and Liverpool, West Ham have also faced Manchester United, Tottenham, Newcastle and champions Manchester City in the past few weeks.
A mixed bag of results has left Sam Allardyce's side in 11th place in the table, but Nolan is pleased with the form the team have been showing despite an ever-increasing injury list.
"We have just come out of what was a tricky schedule of games for us," he said.
"We break the games down into eight-game slots with targets and we have met them both so far. It is now about starting another little mini-league, with new targets for another eight games and looking to achieve them again.
"We have a few injuries but it is about us all pulling together even more and sticking close and working hard for each other and the team.
"I just think, with us all mucking in together, we can get through times when we have a few injuries or whatever."
West Ham were named as the preferred bidder for the Olympic Stadium in last week and the players were brought up to speed on the club's plans for the site if they eventually do take residency there.
"This week we saw what the possible plans could be if we are given the Olympic Stadium to be our new home. I think it will be fantastic for the club," said Nolan.
"Our Vice-Chairman, Karren Brady, came down to the training ground to give us a presentation and to fill us in with what is happening at this stage of the process and what the plans are.
"I must say, I was taken aback about how superb it will look if we get the stadium and I think it is going to be absolutely magnificent for us, I really do."
Allardyce said he thought the move from Upton Park could help the club progress both on and off the pitch and Nolan echoed his manager's views.
He added: "I think, as a club, we can do the Olympic Stadium absolute justice. With our fans, we can not only fill it but it will be fantastic for our club and for the whole of east London.
"We would make sure it is a stadium full of life and I think, as a club, it will help us move on and build great teams for the future.
"It will help us move towards bigger and better things, put us among the elite facility-wise and help bring more top players to the club."