In January, Sanchez decided to leave Arsenal to move to Old Trafford and the Chilean international initially struggled to impress at the North-West giants.
However, despite contributing two goals and three assists in his last four appearances, Sanchez has hinted that United supporters will not see the best of him until next season.
The 29-year-old told MUTV: "It is very different here. I think United is a club with more history and we want to win trophies next year.
"We need to keep progressing; United is a big club, to which I am still adapting, and I am looking forward to giving everything I've got next year and aiming to win everything there is to win."
Sanchez will come up against former club Arsenal when United face the Gunners at Old Trafford on Sunday afternoon.