The England international missed the end of last season with an ankle injury, but has returned to action for United's Under-23 outfit over the last couple of weeks.
It is thought that the 22-year-old is battling to save his career at Old Trafford, and with that in mind, Neville has claimed that he wanted to see much more desire from the former Southampton youngster.
"When I see someone that's been criticised by his manager publicly and he's probably fighting for his Man United future, come on in a game like this against Burton, you're 3-0 up, there's nothing to lose and you've just come back from a long injury, you absolutely sprint everywhere," Neville told Sky Sports News.
"And I didn't see that real hunger to sprint to every ball, to sprint forward, to sprint back, I saw someone that's coasting. He needs to come out of that comfort zone of coasting because if he wants to be a Man United left-back he needs to play at the level of a Ander Herrera.
"[Herrera] got his chance tonight and he flew into every tackle and went into every ball and Shaw needs to get up to his intensity every minute of every game he plays for this football club. At the moment he's not. He looked a long way off. I know he's been out injured but we're waiting for the real Luke Shaw. I think he's good enough to play here but I need to see more from him."
United will resume their Premier League campaign with a trip to Shaw's former club Southampton on Saturday afternoon.