The 50-year-old said: "My future has not changed one bit. I've got a great job. I know exactly the direction I want to go in. It's not been the season we had hoped but I've got ideas to put in place when the time is right.
"The most important thing right now is to get the Olympiakos game played. If we can get past them, it'd be a massive lift for us. We've got a lot of belief and we have to make it show by playing well in the game.
"The support inside Old Trafford has been phenomenal. I think the players will tell you that the first thing I mentioned was that we need to start giving something back now. We need to give them a night to be remembered.
"The biggest assurance is just that they let me get on with the job. We never discuss it - we just talk about the future, making plans for the years going forward. This club is not a club that works on a short-term vision. It works on a long-term vision.
"When you lose in the fashion we did to one of our biggest rivals, there's always a lot of disappointment. It was always going to be a big week with Liverpool and Olympiakos.
"As soon as it was over, we were focused on this game. It's the only thing that matters now.
"I see the players every day and the qualities they show me, they know they can play better. I've got belief in the players because I see what they can do and hope they show it."
On his relationship with former United boss Sir Alex Ferguson, Moyes added: "I speak to him regularly and when he's at the games.
"He has been very supportive. He told me it would be a difficult job before I came in, but he and (vice chairman) Ed (Woodward) are very supportive."
