The former midfielder has predicted the two sides will play out a 2-2 draw at the London Stadium.
West Ham United manager Slaven Bilic
The two sides meet at the London Stadium on Sunday afternoon after disappointing starts to the campaign.
West Ham were beaten by Chelsea at Stamford Bridge, courtesy of a controversial goal from Diego Costa, while Bournemouth lost at home to Manchester United.
Both will be keen to get a win in this game then, especially the Hammers, who will want to mark their first game at their new stadium with a victory.
Bournemouth manager Eddie Howe before the game
Redknapp can’t see that happening though, predicting that the two sides will instead play out an entertaining 2-2 draw.
“If this is anything like last season’s games between these two sides there’s going to be plenty of goals,” he told Sky Sports.
“I’m going to go for a draw. It looks like there are goals in it. I’m going for 2-2, and Callum Wilson, who loves playing against West Ham, to get the first goal.”
Bournemouth's Callum Wilson applauds the fans after the game
It now remains to be seen if Wilson does enjoy as fine an afternoon as Redknapp is predicting, as he hopes to repeat his hat-trick feat against the Hammers last season.
Many are keen to see him shine as a result, although the Hammers will be hoping it isn’t against them on Sunday.
General view of a West Ham fan