The 24-year-old made the move to Anfield on Deadline Day in the summer and has been eased in to life at his new club, making just 12 starts in all competitions so far this campaign.
However, Redknapp believes that Klopp's decision to ease his new signing in has been an inspired one with the attacking midfielder already looking a completely different player.
"I wasn't sure about the move for him to start with and I was wondering how he was going to do, but he has surprised me," the former Liverpool man told 'Sky Sports'.
"I looked at him at Arsenal and it was like he was treading water and going nowhere, but under Jurgen Klopp I am seeing a completely different player. I am seeing he is fit, with a great attitude and wanting to win tackles.
"It's probably unfair to question how he was coached under Arsene Wenger but I watched him play and I didn't feel he developed for years. It looked like he was standing still. I feel a lot of players at Arsenal are in a similar situation.
"You can go and sign a new contract and say 'OK, I'll be on the bench', but he has taken a risk in his career. He could have stayed at Arsenal and signed a new contract but he wanted to challenge himself and has gone to live up north and given himself a chance to play in the first team.
"He wasn't guaranteed a spot but he is in now and it will be hard to dispossess him of the shirt.
"It was a really bold move for him and one that is really paying off. Look at how much he is improving, he has got fitter, stronger, and he is a different player than he was at Arsenal."
The England international finally looks to be forcing his way into the team, having started five of Liverpool's last eight games. Can he go on to meet his potential?