Howe guided the Cherries to a comfortable 16th place finish, finishing three points clear of the drop zone having secured the south coast club’s survival in early April.
And, speaking to the Southern Daily Echo, the Sky Sports pundit believes that Eddie Howe is the manager that every chairman would love to have, and as a result, he will be hot property if a major club vacancy emerges over the summer.
"I do see him getting linked with bigger jobs and I don't think anyone would begrudge him that.
"When you look at the modern game, who wouldn't want a manager who doesn't want to spend that much money, wants to introduce youngsters and tries his best to improve players?
"His age belies his experience. He is such a young manager but is so calm and assured. He ticks every single box a chairman would want so of course he is going to be sought after.
"Of course there will come a time. You have got to try and better yourself and improve if you can.
"In the meantime, I'm sure Eddie goes home and feels very comfortable in his surroundings. He obviously loves it down there and the fans love him and rightly so – he's been incredible.
"As long as the owner keeps spending money and buying the players Eddie wants, why wouldn't he stay? It's a great life down there.
"But I suppose if Chelsea, Manchester United or Tottenham came calling in future, it would be very difficult to say no."
Redknapp came through the youth system at the Vitality Stadium and he has been avidly following the club’s progress in the Premier League.
And despite injuries to key players, including last season’s top scorer Callum Wilson, Max Gradel and former record signing Tyrone Mings who have all missed much of the past season, Eddie Howe’s side continued undeterred, playing the same high tempo passing game that they were widely praised for upon promotion to the Premier League.
His success at the club has made him one of English football’s best managerial prospects, and there will be no surprise should a big club come calling.
The Bournemouth boss is certainly not the only figure at the Vitality tipped to move on to bigger and better things in the future.