Klopp has no intention of leaving just yet, but believes it is important to the future of the club that influential former players, such as Gerrard, remain part of the club when their playing careers are over.
Gerrard has been working with Liverpool’s Under 18s and will take a full-time role coaching them from next season and Klopp hopes that can be the start of the path to taking the top job at Anfield.
Klopp told The Times: "It's perfect that we can involve Steven. What a guy, he's fantastic.
"He was one of the world's best footballers ever. We had him last winter when he had a break in the USA and had a few sessions with us, a few shooting sessions, and I thought what is that? His shooting. Unbelievable.
"I told him when I leave or when the club sack me, I don't of course who'll be my successor, but I'd love that he be it.
"I'll do everything I can to make sure he gets all the information he needs. Because when you join a club you have big responsibility for the future and the future of this club needs legends like Steven Gerrard in decisive positions."