The defensive frailties at Anfield have been evident over recent seasons, and they were not addressed in the summer as Jurgen Klopp failed to strengthen that area of the pitch.
Virgil van Dijk was heavily linked with a move to Merseyside, but Southampton refused to sanction a sale and the Dutchman was forced to remain at St Mary's.
Eight games into the season for Liverpool and problems continue to trouble the backline, and Aldridge thinks that two new faces need to be recruited.
In his column for the Liverpool Echo, the 58-year-old wrote: "There was some anger from the fans after Saturday and I think it was because the supporters have seen it all before.
"They saw us giving points away at Watford and again on Saturday, while other teams are banging them in, and they're thinking 'this should have been sorted'.
"They know they probably need two centre-backs, not one, over the coming 12 months unless Joe Gomez goes in there and is given a chance. We're struggling centre-half wise."
The Reds have lost just once this season in all competitions, but they have failed to win any of their last three matches.