The home win over Fulham was crucial at the weekend and it was the start of their final ten matches, of which boss Ole Gunnar Solskjaer says they need to win five.
Mutch is trying not to get too excited but he says that there is no reason why the side could not win six or seven matches and at the same time drag themselves to safety in the Premier League.
He said: "Who's to say we can't win six or seven of those nine games?
"The confidence we've got at the minute.
"We've always had that belief. Two to three weeks ago we always knew we could get out of it.
"This is just one result so let's not get too excited. I think we've just got to take it one game at a time."
Cardiff last week