Allardyce addressed reporters ahead of his side's clash with Sunderland, who have recently appointed a new head coach.
The 67-year-old was appointed by this weekend's opponents Sunderland after they sacked Gus Poyet as their Head Coach following a 4-0 home defeat to Aston Villa which leaves them just a point above the relegation zone.
Advocaat has an incredible CV which has seen him manage several clubs and countries. Fans of the Scottish game will remember his time in charge of Rangers at the turn of the Millennium, as well as overcoming his old side in the 2008 UEFA Cup final when in charge of Zenit St Petersburg.
Allardyce told reporters at his pre-match press conference: "They've moved swiftly to make a change and give themselves the best possible chance of getting the points they need.
"The players at Sunderland will be hurt that they've let the fans down with a 4-0 defeat last week and I think we'll have a very tough game on Saturday.
"Dick Advocaat has managed around the world so I don't think there will be too many surprises for him coming to manage in the Premier League.
"It's more about him getting used to his players and how best to use them to ger a result.
"A new manager can have an instant effect but then it might take a bit longer. It can be a short-term him, although generally over the long-term the stats show it doesn't make a huge difference, but I think it can in the short term."
Allardyce himself has been linked with the role at the Stadium of Light for the start of next season, but seems pretty focussed on trying to end a bad run of form for the Hammers, which has seen them without a league win since January - totalling seven games.
His side still remains in the top half of the table, but he has talked up the importance of trying to get a result against the Black Cats this weekend.
He added: "We have problems we need to resolve and our goal is to win football matches, not play well and not win.
"Our most important goal is to get a victory, that's very important to us on the basis of a poor points total over the last 12 games or so."