The Premier League leaders face champions Liverpool on Sunday, aiming to move six points clear of their fiercest rivals.
After a wait of eight years without the title, Rashford (above) says United must end that drought.
"It is going to be a good feeling if we manage to win the League," said the England striker. "If we finish second or third, it is not going to be a good season for us — it is not what we set out to try to do.
"We are in the FA Cup and have the Premier League left, so we have to try to go and win both of them. We are more ready now than we were two years ago, in terms of leaders on the pitch and [being] ready to fight for trophies, but still we need to get our hands on them."
Liverpool are unbeaten in 67 League games at Anfield and victory for Jurgen Klopp's side would see them go back to the top on goal difference.