There has been a lot of fanfare surrounding the appointment of Klopp and understandably so, as the German is considered one of the finest managers in Europe.
Ex-Reds midfielder Molby is also excited by the arrival of Klopp and he believes the appointment of the 48-year-old former Borussia Dortmund boss is in a similar vein to the arrival of Barcelona striker Suarez a couple of seasons ago.
In his column for the Liverpool Echo, Molby stated: "I don't think anybody should be surprised with how Jurgen Klopp has imposed his character on the job already. He first came across him on German television when I was at the 2006 World Cup and instantly there's something likeable about him.
"Even fans of other clubs are looking at him and thinking he's the type of man they'd like to see in charge of their side but from now on it he'll be judged on what happens in his matches. Seldom has there been so much excitement over a manager before a ball has been kicked.
"People have suggested that there are teams where the current manager is under pressure who would have fancied him so maybe it was an opportunity for Liverpool.
"If you're a Liverpool fan, he brings the feeling that the club can still get a special manager. It's that same sort of excitement that we had with Luis Suarez, that the club could still attract a special player.
"As much as the history of the football club can sometimes be a burden I also believe that in this instance it very much helped. There's a lot of emotion involved with Liverpool and I think that's what has drawn Klopp towards the club.
"Klopp has now brought all of his main backroom staff that he had at Dortmund and that's something that we shouldn't underestimate."