Vidic believes the Reds will show their true colours back in England.
"We have to go for it at Old Trafford," said the Serbian defender. "It will be a different game at home. We have to attack. This year we have played well at home.
"We have scored a lot of goals in front of our own fans and had some very good results. That is what we need to produce.
"At Manchester United we always go to win games so we cannot be over-happy. A draw is not bad but it was not what we always set out to do.
"We have a winning mentality but we shouldn't be too disappointed either.
"It would have been a lot better if we had scored a goal to take back to Manchester for the second leg.
"We have a few important games coming up before the second leg and we need to get results from those games so we go into the return in a positive mood."