The Reds are already into the semi final of the Capital One Cup this season.
The German took charge back in October, replacing Brendan Rodgers as the clubs owners sought to turn things around at Anfield.
It has been a mixed start for the former Borussia Dortmund manager, with him enjoying both big wins against the likes of Manchester City and Chelsea, and a demolition of Southampton in the Capital One Cup.
There have been disappointing performances as well though, with losses to Newcastle and Watford and a draw with West Brom causing concern.
Molby though, says that success and trophies will be forthcoming at Anfield under Klopp’s tutelage.
“He is a clever man and he was used to doing that at Dortmund, having all the fans stay behind for five or six minutes,” he told liverpoolfc.com.
“I think Jürgen is a team builder, he proved that at Borussia Dortmund. He won the Bundesliga at a time when it was unthinkable that any club other than Bayern Munich was going to win it.”
“There will be some success and there will be trophies, because he wins trophies.”
If Klopp is to win trophies, this season could represent his best opportunity to get the first under his belt.
His side are already into the semi finals of the Capital One Cup, and have signaled their intent in the competition with the win over Southampton in the last round.
They face a challenge to get past an impressive Stoke City side though, with Mark Hughes’ side enjoying a strong campaign so far.
Liverpool will fancy their chances though, meaning a trophy could be arriving at Anfield sooner rather than later.