And Gerrard believes Liverpool’s focus should be on the German at the moment with his priority very much on Rangers.
“Liverpool have one of the best managers in the world and are flying high,” Gerrard told the Telegraph.
“Just because you have been a successful player does not mean you have the divine right to be next in the queue.
"Just because you are popular with the fans it does not make you the right man to replace Klopp, if and when he goes.
"It is very presumptuous. It is also disrespectful to Rangers given the size of this club and everything they have gone through to just assume I have come here to learn and use it as a stepping stone to Liverpool.
Steven Gerrard has been tipped to replace Jurgen Klopp as Liverpool boss (Image: GETTY)
Steven Gerrard made over 700 appearances for Liverpool (Image: GETTY)
“I do not see it like that, although that talk is something I cannot control.
"I am desperate to be successful at Rangers. I understand the size of the club, and how much the fans want success.
"I am committed to it. I am giving everything I have got.
“Whether that leads to an extension here or on to a different challenge, I don't know. That would depend on the challenge.
“But I do not see myself as someone who will end up managing 10 or 12 different clubs, going here there and everywhere and different countries.
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Jurgen Klopp has led Liverpool to the top of the Premier League this season (Image: GETTY)
"Right now, I just don't see that. And this job has all my attention."
Former Premier League star Joe Cole is not surprised that his ex-Liverpool team-mate Gerrard has succeeded in the dugout.
“I knew he'd be good at it. A lot of people were worried when he took the job,” Cole said.
“It's such a massive job for your first one but I had no doubt in him. I think he's a natural born leader.
“Playing and captaining Liverpool is as good an apprenticeship as you can have. When you become a manager all eyes are on you.
“But playing for Liverpool with the pressure that brings and having to carry the club for many years alongside a few other senior players means I'm not surprised he's so well acquitted to management.”