With the Fifa Club World Cup already in the bag, United are still involved in all three domestic competitions, plus the UEFA Champions League.
After being crowned Premier League and European champions last term, central defender Vidic is eager to add to his bulging trophy cabinet.
"I won one trophy two years ago and two last season, so I would like to progress again," he said.
"We are in a good position, fighting for everything but it will be hard especially as we still have so many games to play between now and the end of the season.
"I hope we win more than last season and I am optimistic about things, but I never said we would win every trophy."
Alongside record-breaking goalkeeper Edwin van der Sar, Vidic has been an ever-present member of the United defence who have the chance to claim a 14th consecutive Premier League clean sheet against Fulham on Wednesday.
Victory over the Cottagers on Wednesday would send five points ahead of second-placed Liverpool, eight in front of Aston Villa and 10 clear of Chelsea.
HistoryThe Serbia international has been in superb form this season and has been mentioned as a strong contender for the PFA Player of the Year prize, but Vidic insists that he will not appreciate his achievements until he hangs up his boots.
"I have improved my abilities and I have been part of a team that has won trophies and become part of the history of the club," said Vidic.
"It was definitely a good choice to join United, not that I ever worried whether it would be.
"It is always nice to break records and win things but that is something I will enjoy more when I have finished playing.
"Then I want to be able to say I worked hard and won a lot of things. But for now, there is no time to enjoy the trophies. You just think about each game.
"We have a great group of players and I think we can do big things.
"I enjoy everything about United and I have learnt a lot since I joined.
"But it is not good to think about what you did in the past. You need to think about the future - that is the mentality of this team. That is how you win trophies."