Klopp has been in charge of Liverpool since replacing Brendan Rodgers as manager in October 2015, and he has worked tremendously to return the club to the upper echelons of English and European football.
Klopp led Liverpool to their sixth UEFA Champions League title last season and he crowned that achievement by seeing off the challenges of Pep Guardiola and Mauricio Pochettino to be named as the FIFA Men’s Best Coach at an awards ceremony in Milan on Monday.
The former Borussia Dortmund manager’s contract at Liverpool does not expire until the summer of 2022 and an extension has not yet been agreed.
Gerrard retired from football in 2016 and has since impressed in his role as manager of Scottish side Rangers.
Gerrard’s allegiance to Liverpool means it is only a matter of time before he takes the reigns at Anfield, and Klopp has backed the club legend to replace him when he departs.
"If Liverpool were to sack me tomorrow, then maybe Kenny [Dalglish] would be the first choice to replace me, but they would probably bring Stevie down from Glasgow," Klopp told FourFourTwo.
"If you ask who should follow me, I'd say Stevie. I help him whenever I can.
"If someone gets your job, it's not about them, it's about you not being good enough.
"I'm old enough to know that I give this job everything. I'm not a genius, I'm not perfect, but I give the club 100 per cent. If that's enough, great. If it's not, then it's just the problem of the situation.
"I'm not jealous, I'm not sceptical. I'm completely open. If you want my help, you'll get it.
"My family often thinks that I'm too quick to open up, but I think being any other way is a waste of time. I love life, I love my job, I like most people – that's how it is."