The 34-year-old - who won six league titles with Manchester United - was part of the Everton side beaten 2-0 by Spurs on Wednesday evening, a result which led to suggestions that Harry Redknapp's side could challenge for the title this season.
"The biggest test will come in Match. That's when everyone drops points. Whether they can grind out results then, that's the real question," Neville told The Sun.
Everton will attempt to return to winning ways when they face Aston Villa on Saturday afternoon.