While Redknapp, a regular visitor to Dean Court, admits the Dorset club have “lost their way" he believes “there's something wrong with the game" if boss Howe is dismissed from his post.
The 73-year-old told the Manchester United website: “If they sack Eddie, I would never go to another game! What he has done has just been incredible.
“If you'd have said to me 12, 15 years ago that Bournemouth would be playing in the Premier League one day, I'd have thought you were off your head.
“What's happened here has just been beyond belief.
“To do it for the last five years or whatever and stay in there comfortably has been amazing.
“So no, I could never imagine Eddie being in trouble, but if he is there's something wrong with the game for sure."
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