Robertson arrived in the summer with many anticipating his signing spelt the end of Moreno’s Liverpool career.
The Spanish full-back was left in the cold last season with James Milner taking his place.
But Moreno has enjoyed something of a renaissance since the start of the season, keeping Robertson out of the side.
The former Hull defender has featured in just three games so far and has not even made the bench in eight of Liverpool’s 11 Premier League matches.
But Klopp insists Robertson can learn a lot from Moreno’s attitude to improving and follow in his footsteps.
“If they have the quality they can win the fans back because we have no real idea about the games four or five weeks away,” Klopp said.
“We are easy to convince in the moment. He did it now consistently which is really nice.
“I am happy for him because he had a very difficult situation last year. That’s how it was. We spoke before the last season what we wanted him to do differently.
“He needed a bit of time and now he is doing well. Hopefully he can do well in the future again because that’s how you show consistency.
Klopp added: “That’s the exact situation for Andy Robertson. People will say: ‘Why do you do that [sign Robertson], because he is here and not playing?’
“Because he has to learn, but there is no problem. We are in conversation, talk about it and he has to improve.”