The Toffees go into the game six points ahead of Brendan Rodgers' side but lost three times to the Reds last term, including in an FA Cup semi-final at Wembley.
And Neville, who began his career at Liverpool's other fierce rivals Manchester United, has admitted the extent of his desire to get one over on the Anfield outfit.
"My wife knows that every time she arranges a Saturday night out it's based on what the result of that day's game is," he told the Daily Telegraph.
|I'D DO ANYTHING
|8/1||Everton are 8/1 to beat Liverpool 2-1 with Paddy Power|
"Listen, you can't hide from the fact there's a lot of hatred between the two teams, we'd do anything to beat each other, that said, there's real respect too.
"You look forward to the games, but you can't actually enjoy them because there's so much riding on them."
The 35-year-old also explained the feeling of disappointment which comes with losing out in a fixture of this magnitude.
"You know it's going to be a battle, you know you're going to get unbelievable abuse, but what you fear is the losing," he added.
"Winning's fantastic. But losing? We got beat there last season, it was terrible, you are letting your supporters down and you know this is the one that matters to them."