Liverpool legend Jamie Carragher believes the Reds are lacking a defender and a holding midfielder in their squad.
The Anfield side started the 2016/17 season with a victory over Arsenal, which was followed by a defeat at the hands of Burnley in the last fixture. In the two league games, the former Borussia Dortmund manager saw his side concede three goals against the Gunners and two at Turf Moor.
Klopp has already added Joel Matip and Ragner Klaven to the heart of his back four, while he also saw Martin Skrtel and Kolo Toure leave the club in the same window. Another Liverpool legend Phil Thompson had earlier advised the German coach to bring Chelsea's £20m ($26.2m) target Jonas Hector to provide competition to Alberto Moreno.
The Spain international was not included in the starting lineup against Burnley. Carragher claims that Liverpool's defence is still a problem and they need to bring in new faces to solve the crisis at the back.
"It still looks like they are lacking defensively and even in the holding midfield position," Carragher told Sky Sports.
"Jordan Henderson is not a defensive midfield player and Emre Can is the only one in the squad that does play there because it looks like Lucas is surplus to requirements.
"You can talk about left-back as well because James Milner played there at Burnley. They are still short. Whether they go into the market again with the Benteke money between now and August 31 remains to be seen," he said.
"The defence is a big problem. It was a big problem under Brendan Rodgers and it doesn't look like it has been rectified.
"Klopp's had a summer now and looked at where he needs to strengthen but the big-money buys have been at the other end of the pitch.
"It was a different kind of defending as well for long spells of the game they didn't really have to defend too much within the game. There were a lot of counter-attacks and plenty of possession, maybe the opposite of last week and they couldn't deal with it," the former Liverpool legend said.
"Gray had Ragner Klaven and Dejan Lovren every time he went into the channels. Every time the ball went down the sides he was causing them problems and the killer goal is the second because it makes it very difficult against a team like Burnley, who are so good defensively," he explained.