While he admits that United need to be more clinical in front of goal, Vidic is adamant that there is nothing to be worried about at Old Trafford.
"I would not say we are worried, but we have to improve some areas," Vidic told The Sun. "Not scoring is not like us. But it is still the beginning of the season and we have so many games to play, some tough games.
"In the first game against Swansea, we scored four. But I don't judge matches only on goals.
"From every game, you can take positives and negatives - even from this one [against Liverpool]. I think both games against Liverpool and Chelsea were really solid and we didn't give our opponents anything."
United have gone without a goal in back-to-back Premier League games for the first time in seven years.