Reds' backline because of injuries to four fellow centre-backs, Jonny Evans, Rio Ferdinand, Chris Smalling and Phil Jones. But Vidic insists their absence by no means excuses the defeat.
"When you come to places like Everton who will play long balls into the box you need big, strong defenders, but we won't use injuries as an excuse," he added. "I thought the players who came in gave their best and hopefully we'll have a couple of defenders ready for the next game.
"Towards the end of the game Everton looked a bit tired and I believed, even up until the last minute, we would score because we had some good possession and they sat back a bit. Unfortunately we just couldn't get the goal."
MUTV viewers in the UK and Ireland can have their say on the game on 'The Paddy Crerand Show' on Tuesday night at 18:30 BST. To subscribe, go to www.manutd.com/mutv