Town are not in action this weekend but Magilton called the midweek defeat to Southampton "the worst performance since I became manager" and accepts that the trip to Molineux will be a huge test.
He said: "One or two players will have sleepless nights, that's for sure.
"After a performance like that against Southampton you can't get carried away but we are going to Wolves who are top of the table and you have to consider where we are going and what we are going to do tactically.
"Players will have to look in the mirror and ask themselves questions.
"We have two tough away games now and we will be without our captain Gareth McAuley for Wolves. I will now find out who are the men in the team, the people who will stand up and be counted. We need people to show character now more than ever."