Despite their fine run of form, bookmakers still have United as third favourites for the Premier League title, behind Manchester City and Liverpool.
Match against Liverpool will be 'great test' for us, says Manchester United manager Ole Gunnar Solskjaer
Solskjaer's remarks come as Manchester United defeated Burnley 1-0 on Tuesday to go to the top of the Premier League 2020-21 standings.
Manchester United are currently preparing for the Premier League clash against Burnley, slated to take place on Wednesday.
A league winless run that's been extended to 10 games -- featuring eight wins -- has the record 20-time English champions well-placed to mount a challenge for a first title since Alex Ferguson retired
There's no title race after 15 games: Manchester United gaffer Ole Gunnar Solskjaer after win over Wolves
Ole Gunnar Solskjaer said it is too early to talk about Manchester United's chances to claim the Premier League title.
Rashford had appeared to damage his shoulder towards the end of the match against Leicester but Solskjaer is hopeful that it is not a serious concern.
Not listening to Premier League title challenge at the moment, says Manchester United gaffer Solskjaer
Their recent run of good form, where they have gone unbeaten in their last seven league games, has sparked discussion of an unlikely title charge.
Solskjaer's remarks came ahead of Manchester United's derby clash against Manchester City in the Premier League at Old Trafford.
The Norwegian boss has a decision to make in midfield, with Fred absent after a red card in the defeat to PSG.
United is currently placed in the 13th position in the Premier League 2020-21 standings and the side will take on Southampton later today.
Edinson Cavani had signed a one-season contract at Old Trafford in October and it also includes the option of an extra year.
Such fireworks are unlikely on Sunday at least off the pitch as 15th-placed United host Arsenal, who are two points better off having played a game more.
Solskjaer said that the player is fine and has no symptoms.
After a victory over PSG, Manchester United manager Ole Gunnar Solskjaer said his side really focused on the match and deserved to win.
Fernandes also went from zero to hero as the midfielder's second half penalty was saved before he hit a superb strike to put United ahead.