McAllister also hailed the winning mentality that Milner possesses.
Milner made the short switch across the North West on a free transfer and started the Reds win against Stoke City on Sunday, and looks as if he will play a pivotal role at the heart of the Liverpool midfield.
McAllister, who also spent two seasons as a player at Liverpool from 2000 to 2002, told the official Liverpool website: “He’s an experienced player in big competitions and big competitions for his country as well. He brings good experience.
“You can bring in players that are a little bit older and have got experience but their experiences are not necessarily good ones. But he’s got good experience, he knows how to win."
The pedigree that Milner has among a young side that aspires to be winners could be key for the Reds this season, as surely a trophy is expected from the side given the amount of money that has been spent over the past two seasons, and that the Reds have yet to lift silverware since the League Cup win in 2012.
Even though he's not even 30, Milner has recognised that he is one of the more senior members of the side and could be the man who plays the most games for the Reds this season, aside from skipper Jordan Henderson.
Having someone of Milner's mentality around the team is important, and it seems that McAllister has singled the midfielder out as an important player and role model to the younger players within the side as well.