Although there has been speculation about a deal for Tottenham's Toby Alderweireld, there has been no offer from United while Leicester remain determined to retain England worldwide Harry Maguire, who has four years left on his contract.
United's all-time leading goalscorer told Sky Sports: "I think it will be hard after the season they had past year".
"The gap is just too big to bridge for any of the teams below, but I do think it will be closer and I think Liverpool will be the team providing the main competition", Le Tissier told Sky Sports. However, there was no indication that it was a deliberate tactic on his part or that he was being economical with the truth.
But he was quick to point out his United side were closest to runaway leaders Manchester City last season, even if they finished 19 points adrift.
"It is hard to believe that we finished second because you are capable of making people that finish second look like they were relegated, and people who win nothing, finish below us, and you make them look like serial winners". It is hard for me to understand we finish second.
Manchester United boss Jose Mourinho is furious going into the new season without a new centre-half signing.
The Reds were one of the most exciting teams to watch in world football last season, thrilling fans with their own unique brand of expansive, high-octane football.
"They return on Monday, trained Monday, Tuesday, Wednesday and today so you can imagine that they are not really fit and ready but we have needs", Mourinho said. The players gave everything, they gave what they had. "In football you need time to work and players on the pitch to work and we didn't have until now". Valencia - he was injured in pre-season.