Ole Gunnar Solskjaer’s Red Devils travel to Anfield for a crunch clash with the English champions on January.
The two arch-rivals are sat level on points at the top of the table right now, with Liverpool only leading the way on goal difference.
And Neville recently sparked an angry reaction out of Reds supporters by suggesting that United are currently “joint top” with Jurgen Klopp’s men.
The former England defender joked on his latest Sky Sports podcast: “I only used it last week, you know, just to tweak the tail of the tiger.
“It worked a little bit, so I thought I'd use it again!”
Neville is looking forward to seeing United test themselves against Liverpool after turning their form around over the past month.
“I’m so looking forward to [the game], not because I'm thinking Manchester United are going to go to Anfield and win but Manchester United have become competitive out of nowhere,” he added.
“When was that Manchester derby - four weeks ago? I remember myself, Roy Keane and Micah Richards were sat on that platform at Old Trafford saying that Chelsea and Liverpool and Tottenham were far ahead of the two Manchester clubs at this moment in time.
“Now, Manchester City will feel a lot better after their performance at Chelsea and Manchester United are sat there - after some really awful first-half performances, mainly - level on points with Liverpool.
“If you'd have said at the start of this season, or even five weeks ago, that Manchester United would be level on points with Liverpool, I'd have said no chance, that can't happen.
“That shows how unusual this season is. Manchester United have picked up form and what they have is a lot of match-winners - Cavani, Martial, James, Greenwood, Rashford, Fernandes, Pogba. All of them can turn a match.
“(Also) Van de Beek, who's not even playing at the moment hardly - game changers, match winners, and they do it in moments. And they don't always have to be playing well when they've got that type of player on the pitch.
Get the latest transfer news straight into your inbox!
Want to be on the ball with all of the latest football news?
Well then sign up for the brilliant new Daily Star Sport email newsletter!
From the latest transfer news to the agenda-setting stories, get it all in your email inbox.
How do you sign up?
It only takes a matter of seconds.
Simply type your email address into the box at the top of this article and hit 'subscribe'.
And that's it, job done. You'll receive an email with all of the top news stories every single morning.
You can find out more information on our email newsletter on this link here.
“The performances are getting better. It's a work in progress. It's not by any stretch the finished article and at times in games, they mesmerise you for 10 minutes and then they can turn into a nightmare for 10 minutes, and that's how they have been.
“But there is confidence building, and there's a little bit of something just growing, and the spirit at the end of the (Aston Villa) game when you saw the players celebrating was nice to see.”