The former United right-back sat down with fellow Sky Sports pundit Jamie Carragher on 'Gary Neville's Soccerbox' and looked back at some past matches against Liverpool.
And he said former boss Ferguson would often save his famous 'hairdryer' treatment for those fixtures because it meant so much to him.
"Sir Alex was always different around the big games," Neville said. "He could be quite relaxed, particularly towards the end, around what I would call 'normal' games, but towards the Liverpool and City games he was always more intense.
Sir Alex Ferguson (right), Kenny Dalgish (left) at Anfield
"During the week, if you walked down the corridor before a big game he'd be like 'hi son', whereas in the normal games he'd be more chatty.
"He was different going into the big games and to be honest with you, the most consistently angry that I saw him.
"People talk about the hairdryer and it never happened that much to be honest with you during a season, but the most consistent place you would see it was Anfield - at half-time or the end of the game.