Sir Alex Ferguson's side appeared to have curbed their attacking instincts in the second-half, and were prepared to let Swansea make the running.
But Vidic, while acknowledging the importance of single-goal victories, did not say it was part of an overall plan.
"Obviously, we want to score more and entertain," he said, "We are Manchester United - we are not looking to play for a 1-0 and defend.
"We are always looking to score goals. But I think it's a big thing when you play okay and win. It shows the spirit and honesty in a team.
"It was the same against Everton. There will be games where we play great football and score many goals and you enjoy that but sometimes you have to defend as well."