The 36-year-old joined the academy in February with a roving coaching role but has aligned himself closely with the under-18s.
On Thursday it was announced the the ascension of Neil Critchley to the Under-23s will see Gerrard take Critchley’s current role this summer.
First-team boss Klopp recommended Gerrard’s advancement after his initial settling-in period.
“It’s a fantastic thing that he wants to be a manager in the future,” said Klopp on Friday. “He has all he needs to be a good one.
“When I saw the excitement in Steven’s eyes I was really happy about giving him this fantastic opportunity.
“Starting at a club like Liverpool is a fantastic opportunity – but not all former world class players are ready to do this. It’s the classic win-win situation. For the youth players it’s a fantastic opportunity to work with him.
“My door is always open, he knows that. He will be good.”