It was not so much the actual loss against their Champions League rivals which may have caused the United fans to fret, but the defending, particularly in a mad first half which saw Sir Alex Ferguson's men concede three times after Wayne Rooney had given them an early lead.
Ferguson admitted afterwards United would 'not beat anyone' if they carried on like that.
The Serbian is convinced that when United tackle Chelsea in the Community Shield at Wembley on Sunday, their defensive unit will look a whole lot more convincing.
"It is a concern we gave those three goals away because we didn't keep our shape and we made a lot of mistakes," said Vidic.
"But Inter were a lot better team than anyone else we have played in pre-season so far, so if we are going to make those errors, it is better to do it against them than in another couple of weeks.
"No team plays that well at this stage, not even Chelsea or Arsenal. The main thing is we have three more days to prepare for Sunday's game. I am sure we will improve defensively and our overall performance will be much better."