Redknapp made over 300 appearances for the Reds across 11 seasons and, although he says he "wouldn’t have swapped my time at Liverpool", the Sky Sports pundit did admit that he wishes he had won more trophies.
Speaking on Paddy Power Media’s new podcast, From The Horse’s Mouth, Redknapp said: "Because a lot of the Liverpool lads at that time were from that area, they wouldn’t have gone to Everton, it's probably more difficult for them.
"But if you've got a situation where Liverpool wanted to sell me, Everton are going to offer me loads of money, would I have gone there?
"I'm sure I would have done because I think you've got to go - you've got to remember, when you retire, nobody cares about you.
"That's something my Dad always said to me, you've got to get it while you can because when you retire no-one cares. It's a fact.
"When I left Liverpool after 11 years, they looked after me brilliantly. There were times when the embarrassment of not playing but the club is still paying your wages.
"So, there are so many different aspects to it and some players could get that loyalty, and I certainly got it in abundance with Liverpool because they looked after me so well.
"But it's football; it's a job at the end of the day. I look at some players and think would I have gone to Man United? Listen, I'd love to have played for Alex Ferguson. I can't lie.
"It must have been an incredible experience because of the way that he manages teams.
"Not all great teams won trophies. That's the one thing I look back in my career, I didn’t win enough. But I certainly wouldn’t have swapped my time at Liverpool.
"I had the best time, played with brilliant lads, great players. The only thing that was missing was the icing on the cake, which is medals."
Jamie Redknapp was speaking on Paddy Power Media’s new podcast, From The Horse’s Mouth.