The Reds were heavily linked with a move to sign Virgil van Dijk in the summer transfer window but Liverpool ended up not signing the Netherlands international after Southampton accused them of an alleged illegal approach.
Klopp opted not to sign a new centre-half in the summer, although he did bring in left-back Andy Robertson from Hull City.
Liverpool have been criticised for their sloppy defensive performances so far this season, with the Reds having only won three of their opening seven Premier League games.
Indeed, the Merseyside outfit have conceded more goals than any of the teams currently above them in the Premier League table.
And former Matteo believes that Liverpool desperately need to bring in defensive reinforcements in the mid-season transfer window.
Speaking to Betsafe, Matteo said: “Another centre-half who is a leader and organiser will definitely help [Liverpool].
“I think it is a bit bigger than that as well, I don’t think just one player can come in and your defensive problems are solved, it’s a team effort to get things right.
“It’s something that you have to work on as a unit, it can’t be just one player coming in and everything is alright.
“But I think signing someone like a Van Dijk in January will help and it will help with the fans as well as I think the fans are crying out for a leader to be brought in at centre-half.
“If the manager was to bring someone like that in it will certainly be good for the fans and the club going forward.”
Liverpool are currently preparing to host Manchester United at Anfield in their crunch Premier League clash on Saturday afternoon.
The Reds are currently seventh in the table and seven points behind leaders Manchester City as they look to try and become more consistent following a stuttering start.
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