Indeed, Redknapp is backing the league leaders to earn a win against West Ham but doesn't think it'll be easy.
As far as domestic form goes, Manchester City are as good as it gets. The midweek Champions League defeat to Juventus showed a chink in their armour, though, and the Hammers are on a high.
The pundit, meanwhile, also thinks a certain striker can make an impact for West Ham off the bench...
Redknapp told Sky: "This is going to be a real grind for City - but they need to show the fans something and win their trust back after losing in midweek.
"I think they'll win by the odd goal but they'll have to work hard for it. West Ham have players who can play on the counter attack and Andy Carroll could come on and cause problems - he's done that to City before when he was at Liverpool.
"But I expect Manuel Pellegrini's side to scrape through."
Carroll has always been the subject of speculation since his big-money arrival at West Ham, whether it be speculation about how long he will be out injured or whether he will be used correctly within the Hammers' first team.
Under Sam Allardyce, the striker's inclusion naturally meant a shift to long-ball football. That's something West Ham fans are keen to avoid now but, if current boss Slaven Bilic can find a way to incorporate the 26-year-old without altering the east London side's speed on the break, Carroll's quality will be most welcome.
Making an impact at Manchester City certainly won't be easy, though. If the West Ham forward manages it, he'll be in good company alongside Juventus...