Villa suffered some home discomfort of their own last Sunday when they were beaten 4-1 by Stoke City at Villa Park.
Lambert is aware that United will be smarting themselves after an embarrassing home defeat to local rivals Manchester City on Tuesday night.
But the Villa boss is encouraged by his team's away form and, although his team have not won on their travels since a 1-0 success at Sunderland on New Year's Day, he has vowed to attack the reigning but under-pressure champions.
"I think they (United) have been badly hit by what happened the other night and you are probably expecting them to come out firing on all cylinders," said Lambert.
"But our job is to try to win, to try to hurt them by doing what we do best. Our intent is to go up there and try to win.
"Everybody knows our away form and the way we play - we can create and try to score.
"The other night they were up against Manchester City, who on the night were excellent, and this will be a different game for Manchester United - it is not their local rivals they are playing against, and it is a team lower than them in the table.
"But a lot of our best performances this year have been away from home with the way we play. So we will go there and try to win."
Lambert was furious with his team's capitulation to Stoke, a defeat suffered after they took a fifth-minute lead through Christian Benteke.
But he has been pleased with the squad's reaction to it and is confident their performance levels will be much better at Old Trafford.
He said: "We had a chat this week and I told them my feelings on it (the Stoke match).
"To be fair to the lads, they have trained well. There's no hangover from it.
"One thing I've found is that the lads have always come out and tried to rectify things, and I'm pretty sure on Saturday it will be the same."
Lambert's men go into the game 12th in the table, while United - 3-0 winners in the reverse fixture at Villa Park in December - are seventh.
Villa midfielder Karim El Ahmadi is a doubt due to a thigh problem.
The injury forced El Ahmadi to come off in the first half of the Stoke contest and Lambert has said the Morocco international is "struggling" ahead of the trip to Manchester.
Forward Andreas Weimann had to be taken off around the same time in the Stoke match because of a dead leg but is expected to be available.