Redknapp believes it would be the wrong decision for the Hammers to try and replace Allardyce at this stage in the season.
He said: "There's no-one better than Sam, I don't think, to get them out of the situation they're in.
"He just needs a little bit of luck now. He needs to get his centre-halves fit, he needs Andy Carroll to get fit and if he gets them back, Sam's your man."
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