That is the view of former Reds defender Jose Enrique, who believes that taking over from someone as successful as Klopp could prove to be an impossible task.
Enrique has hinted that Gerrard should put his dream on hold in order to allow supporters some time to adjust to life without their favourite German - and take the job further down the line.
Gerrard has recently begun his third season as Rangers boss in the Scottish Premiership, and is tasked with stopping their rivals Celtic from winning their 10th title in a row.
Jose Enrique, talking as a Ladbrokes ambassador, said: “I do not know who'll replace Klopp, but I hope it won't be a decision the club has to make any time soon.
“Look at the difference he has had on the team, and the players who now want to come and play for us.
“Before he came and even when he joined, it was Luis Suarez and Philippe Coutinho - our best players at the time, who wanted to move to better teams and now we have Thiago coming from Bayern - who have just won the treble - to play for Liverpool because Klopp has made us one of the best clubs in the world.
“I believe Stevie (Gerrard) will manage the club one day, but to come in after Klopp immediately would not be good.
“Stevie is probably Liverpool's best ever player and he'll always be remembered as that, but to come in after Klopp fans will want him to win things straight away and that's not easy.
“I really like how Stevie works as a manager and things are going really well for him at Rangers, but it would be difficult to change the way Liverpool work again after Klopp and achieve success immediately.
“I would love him to one day manage Liverpool, though.”
Gerrard said of replacing Klopp in the past: “I understand why (people expect that) because I was captain for so long and a large chunk of the fanbase would like me back at the club.
“But I'm bright enough to realise that, first and foremost, you have to be good enough. The owners need to think you're the right man.”
Before adding: “You can't plan everything season by season. If things turn in months, you'd be out of work. That's how brutal the job is, but you are aware before you go in.
“Am I ready for the Liverpool job right now? Maybe not.”