The Premier League club, which currently occupies fourth place in the table, expects overall annual revenue to be between £500mln and £510mln.
No club has ever topped £500mln before, the BBC reported.
The US-listed club is back in the lucrative Champions League this year under new manager Louis van Gaal after failing to qualify for last year's competition.
Overall quarterly revenues to September 30 rose 39.3% to £123.6mln.
Profit for the period fell 44% to £5mln, due partly to a loss on player trading of £7.4mln.
Profit took a hit from the disposal of players Angel Di Maria, Nani and Robin van Persie, partly made good by a profit on selling Javier Hernandez.
Vice-chairman Ed Woodward said the revenue figure highlighted the continued strength of the business.
The news came as rumours emerged that Real Madrid may sell Cristiano Ronaldo back to Man Utd in return for goalkeeper David De Gea.
Shares in the New York Stock Exchange-listed club closed up 4.7% at US$18.99 on Thursday.