Vidic is suspended after being handed a red card in the World Club championship final in December.
“I think Nemanja Vidic should be suspended for both legs, not just this week’s game,” Mourinho said in his Daily Telegraph column.
“We will certainly try to make things uncomfortable for the United defence without him at the San Siro.
“We have almost the whole squad fit and with the support of our fans and the experience of our players we can make this very, very tough for United.
“It will not be an open game – we want it to be tight and tactical. So the strikers will not have time and room to work in. That makes it important for us that Zlatan Ibrahimovic produces his very top performance.”