Two goals in three second-half minutes from Ryan Bennett and Elliott Bennett earned the Canaries just a second win in 17 Premier League games to see Hughton's men move seven points clear of 18th-placed Wigan with four games to play.
With Stoke and Sunderland also winning, it was crucial for Norwich to take three points.
Hughton said: "We needed it. There are teams around us that are all capable of winning games.
"How it will end up in the end, numbers wise, I don't know, but at the moment this feels like a big win for us.
"I think it will take more points. I've always thought around that 40-mark and I think there are teams around us that are still very capable of winning games.
"I do think it will take more, but three points today has been a big help towards where we want to go."