The club are expected to end their search for a replacement for Rafael Benitez by finalising the appointment of the Fulham boss by Thursday morning.
However, Aldridge believes the extent of the task Hodgson will have to do is akin to what the legendary Bill Shankly was faced with when he rebuilt the club in the 1960s.
"He's got a massive job on his hands at Liverpool," said Aldridge. "This is the most important stage in Liverpool's history since Bill Shankly took over with what's happening off the field with the owners and the lack of stability at the club."
Aldridge believes Hodgson has to decide very quickly his plan of attack and make key decisions in order to be able to move the club forward.
"Something has to happen as soon as possible; you have to go in and test the situation about which players need to go out, what you've got to bring players in and who you can keep," added the former Republic of Ireland international.
"That's very important as Mascherano has been using the wild card about his wife [being unhappy] and there's question marks about Fernando Torres and Steven Gerrard. They've got to be sorted out asap."