Pundit says Tottenham Hotspur will not win the title.
Three successive wins have kept Spurs in touch with Liverpool and Manchester City, and separated themselves from the teams in fourth, fifth and sixth.
Tottenham still have Harry Kane and Dele Alli to come back from injury, and could finish the season strong.
Neville says he would like to see Tottenham win the league, but cannot see it happening.
He told Sky Sports: "I woke up this morning to people saying Tottenham are title contenders again and I don't think they are.
"I think if City had played yesterday, Liverpool had played today and Tottenham were on Monday Night Football, I don't think we would even be talking about Tottenham as title contenders because Liverpool and City would be many points in front.
"I'd expect them to beat Watford and Newcastle because they're a good side, but they're not going to have the squad depth or the quality to be able to compete with City and Liverpool.
"That is not a criticism and I know Tottenham fans have been disappointed in the last few weeks and I've dismissed them for the title because they are so close. I hope they win it, but I don't think they will."
Tottenham were written off as soon as Kane got injured, and despite two disappointing cup exits, they have found a way to grind out wins in the Premier League.
Spurs' next fixtures are at home to Leicester and away to Burnley, before back to back league games away to Chelsea and at home to Arsenal.
If Tottenham can find a way to win all four and then Kane and Alli return, Neville might have to start changing his tune.
Spurs are four points behind league leaders Liverpool, who travel to West Ham tonight to play their game in hand.