It does seem unlikely as United, whilst level on points with Manchester City, are eight goals behind the Blues on goal difference and realistically need to beat Sunderland away from home and hope relegation-threatened QPR avoid defeat at the Etihad Stadium.
"I want to thank the directors for supporting us the way they do and hopefully next week we will have the biggest celebration of our lives," Ferguson told the United supporters at the end of the game.
United midfielder Michael Carrick said his side had not given up hope of snatching the title, but admitted they had been deflated after watching City's win before kick-off.
"We were watching game at Newcastle and hoping for something. It didn't quite happen for us," he told Sky Sports 1.
"We had to be professional and to take it on to next week.
"It was about winning the game. Credit to the boys after watching the game before. It can be difficult. We can only hope next week."
Asked if they had any hope, after first-half goals from Paul Scholes and Ashley Young, he added: "Who knows? Football is a funny game. Stranger things have happened in the past.
"We have to concentrate on ourselves. Sunderland will be a tough game.
"We still have a chance of winning the league."
Sir Alex Ferguson will need a favour from his former United player Mark Hughes, who will take his QPR side to the Etihad Stadium galvanised by a 1-0 win over Stoke that moved them two points clear of the drop zone.
The R's away record is, however, poor and Ferguson admitted his side would go to Sunderland on the final day with hope rather than expectation.
"We have to go there with the right spirit to win the match. You never know," he said.
"Our responsibility (next week) is to win the game.
"We've got next week. QPR need a point you never know. I just wish Sparky (Hughes) was playing."
Speaking about the win, he added: "We did what had to do. We won the match.
"We had a lot of chances. I thought we played very, very well.
"I was pleased to win the match."