"I hope this will give us a confidence boost, but I am not getting carried away," Carrick said in a season which has proved disappointing by their own high standards.
"Sometimes this year we have taken one step forward and two steps back.
"In the past when we think we have cracked it sometimes we get a result that we don't expect.
"We will enjoy this one but we have Saturday's game against West Ham to think about and (Manchester) City (next Tuesday) as well.
"We haven't had a good season and we are well aware of that so we need to start to get a bit of consistency now.
"Hopefully this will kick us on but we will take it step by step."
Carrick accepts the players have deserved all the flak that had come their way before the game.
"When you play for this club and you don't get the results then questions are asked, you are there to be shot at," the United midfielder said.
"It is something we have to handle and that is why we knew Wednesday was so important.
"After the weekend we were very down so after a couple of days it was good to get the win."
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