All-time Premier League top goalscorer and pundit Alan Shearer offered a similar prediction.
The Red Devils finished second last season on 81 points but Le Tissier can not see them securing a top-four place this term.
However, former Manchester United defender Neville feels that Chelsea FC can not yet be discussed as title contenders because he thinks he has spotted some weaknesses in their recent performances.
Writing for BBC Sport, the former striker said: "Arsenal are on an impressive six-game winning run in the league, and they looked very good against a very open Fulham team on Sunday". The form of Eden Hazard is a big factor in what they're doing. They were a completely different standard to Southampton. They have sneaked under the radar a bit and if Hazard keeps this form up you wouldn't rule them out being in the chase up until May.
"I still think Manchester City".
'They have so much quality and strength in depth and over the course of the season that will give them the edge.
'Even without someone who was considered to be their best player last season in Kevin De Bruyne, they're still sitting top of the table after eight games. They should be a couple of points clear but Riyad Mahrez's penalty against Liverpool was an absolute shocker. They are yet to suffer a defeat in the Premier League and are joint-top of the table going into the second global break of the campaign. If they can be top of the league without him, then they're not going to get any weaker with him being in the team.
"I don't think they will win it by 19 points again like last season but I'd expect Man City to win it by a handful of points".
Matt Le Tissier has told Sky Sports that he believes Tottenham Hotspur will finish in the top four of the Premier League, but only on one condition - Christian Eriksen returns to fitness and remains available.
"Manchester United have got some ground to make up if they are going to be in contention".