The Reds have already been linked with the likes of Bayern Munich pair Mario Gotze and Robert Lewandowski as well as Ilkay Gundogan and Marco Reus this transfer window - all of whom played under Klopp at Borussia Dortmund.
Sounds suggests Klopp will want the very best on Merseyside and feels he will be making moves in the German market before too long.
Speaking to Sky Sports News HQ, Souness said: "The best teams have the best players.
"The biggest part of Klopp's job will be to recruit the best players. He knows the German market inside out, I would imagine, that is where all his contacts will be, and I would expect German players to follow.
"There are several areas where he needs to strengthen. They leak bad goals and if you are doing that, it can affect your confidence right throughout the team. I think he will want to address that as a priority.
"The other thing is getting someone who can score lots of goals. I said at the start of the season I thought that if Liverpool were going to get into the top four, Christian Benteke had to get 30 plus goals. But that is not going to happen.
"The reason I said that was because they do not have a free-scoring midfielder behind him. So you can be playing badly, but goals can win you games. And on the other foot, you can be playing very well, but your goalkeeper can lose you games because he is throwing daft things in."