The reassurance galvanized the players, driving them to secure the European title the following season in Madrid.
"When we got to the final in Madrid there was no way anyone was standing in our way," said Robertson.
Robertson recalled realizing the immense historical pressure surrounding Liverpool's long-awaited domestic league title campaign when he first arrived at Anfield.
"We knew how desperate people were for a Premier League at Liverpool," said Robertson.
The long gap since the club's last domestic title created an intense desire among the fan base for league success.
"I think that was the one thing I really felt when I signed," said Robertson.
Supporters openly communicated their urgency regarding the top-flight trophy during that multi-year rebuilding period.
"The fans were basically desperate for the Premier League at that time because it had been so long," said Robertson.
Following Klopp's departure, new manager Arne Slot defied external skepticism by guiding Liverpool to its 20th English top-flight league title.
"We wanted to prove to the world that Liverpool could carry on without the amazing manager Klopp," said Robertson.
Robertson noted that external football pundits heavily doubted the team's ability to secure the championship under new management.
"I don't think anyone tipped us to go on and win the Premier League," said Robertson.
Robertson is currently preparing for his final competitive match for Liverpool against Brentford at Anfield on Sunday, which takes place alongside the departure of teammate Mohamed Salah.
"I'm trying to take it in this week," said Robertson.
The defender is focusing on appreciating his final days interacting with the club staff and squad members at the training ground.
"I know how important it is and what a nine years it's been. I'm just trying to enjoy my last week of seeing everyone...
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and then when it comes to the game on Sunday, I'll try and enjoy it," said Robertson.