The defender joined on loan from QPR until the end of the season this week.
The Reds have struggled defensively all season, with it having been a weak area for both Jurgen Klopp and Brendan Rodgers before him.
A series of injuries have robbed the German of the majority of his defenders in recent weeks with Dejan Lovren, Martin Skrtel and Mamadou Sakho all picking up knocks.
He has moved to fix that by securing Steven Caulker on loan from QPR this week, but Lawrenson says he is not good enough, and the move shows Klopp has no trust in the club’s young defenders.
“I can't see how Steven Caulker is capable of being the answer to Liverpool’s defensive problems,” he told the Liverpool Echo.
“I don’t think he’s anywhere near good enough to become a regular centre-back for Liverpool - let’s face it he’s just a body.”
“It just seems like a very short term move and having brought Tiago Ilori back from loan too, it appears that Jurgen Klopp believes the young centre-backs he’s got don’t cut the mustard.”
The move for Caulker certainly seems like a desperate one from Klopp, given the career he has had so far.
He already has two relegations under his belt with Cardiff and Queens Park Rangers, and has failed to kick on from when he was highly-rated as a youngster at Tottenham.
This is very much his last chance to impress in the Premier League though, and Liverpool will be hoping the chance to play at a big club could be the inspiration he needs to push on once again.