Chelsea are well on track to win the Premier League in Antonio Conte's first season in charge, as they are eight points clear at the top of the table.
After lifting the title in Jose Mourinho's second spell in charge in 2015, the Blues fell away last term, finishing a lowly 10th.
And Sky Sports pundit Neville reckons the west London outfit's likelihood of continued glory will depend on the hunger of the players rather than the methods of Conte.
"I don't think it's a case of whether or not the training programme is sustainable," Neville told Sky Sports' Monday Night Football.
"It's more whether if the players have the mentality to win the league if they do and come back and have the right attitude to do it again.
Antonio Conte and Chelsea are on course to win the title
Gary Neville thinks the players alone will determine whether Chelsea have sustained success
Burnley 1-1 Chelsea: 10 key statistics from the match
Sun, February 12, 2017
Express Sport brings you 10 key statistics from Chelsea's 1-1 draw with Burnley at Turf Moor
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Express Sport brings you 10 key statistics from Chelsea's 1-1 draw with Burnley
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If they keep the same attitude and application, it's not down to the training programme
"That's been the problem for Chelsea over the past few years when they have done quite well and some of those players have been through that story when Carlo Ancelotti or Mourinho were in charge and they haven't been able to raise the game the following season.
"If they keep the same attitude and application, it's not down to the training programme. If it doesn't go well, the managers gets sacked.
"It wasn't Mourinho who changed or Claudio [Ranieri] this season, but the players' attitude and mentality that changed."
Chelsea dropped points on their last outing, a 1-1 draw away to Burnley on Sunday.