Molby has been pleased with Liverpool's defensive efforts so far.
Klopp drew his opening three games, but his side have won three on the bounce in all competitions and have now collected three clean sheets.
The Reds have yet to concede more than one goal in a game, and the Dane feels Klopp has tightened up a defensive unit that looked exposed under Brendan Rodgers.
Molby wrote in his Liverpool Echo column: "Given our dominance of possession, people will no doubt continue to point out that we are finding it hard to score goals.
"I hardly think that's a surprise. If you look at the players we have available, we're not exactly going to be knocking teams over by three or four at the moment.
"What Klopp has achieved already is we rarely look like we're going to concede from open play and we rarely look like we are going to lose."
Tightening up at the back, of course, takes the pressure off Liverpool's forwards to take every chance that comes their way. If you look at the win over Rubin Kazan, there is clearly a need for them to be more clinical, but keeping them out at the other end is just as important. That was something Liverpool were simply unable to do prior to Klopp's arrival, as they had gone eight games without a shut out prior to a 0-0 draw with Tottenham Hotspur.
The silly errors haven't been seen for some time. Set pieces could still be a problem, but it looks as though that is an area that has been worked on intensely since his arrival.
Consistently good defensive performances could, then, provide the base for the forward line to thrive in the near future.