Mel and the club have looked to play down a dressing room incident involving Saido Berahino after they conceded a late equaliser in last week's 3-3 draw against Cardiff City.
But they bounced back at Carrow Road as Morgan Amalfitano struck the only goal of the game to move West Brom five points clear of the relegation zone.
Mel felt their unity was on display in the victory, which acts as a major boost for their survival hopes.
"A team that has displayed discipline on the pitch and played as they did today - well and together - demonstrates there is a good spirit within the camp and that we are a family," he told reporters.
"These three points really move us closer to the end and they really make our route a lot easier.
"I really think the game against Spurs is very important and if we're able to win against Tottenhan then the future will be a very happy one. Today we're sure that we're going to win because our levels of confidence are very high."
The victory also pulls Norwich further into the mire, with many of the home fans clearly frustrated by what they saw at Carrow Road and manager Chris Hughton says he understands their feelings.
"I understand the frustration and we just have to get on with it," he added. "That is probably as frustrated as I have felt at Carrow Road this year because our performances had been good.
"We got into some areas where at times our quality and passing let us down.
"What happens then is some of that frustration builds up with the support and the only way you can alleviate that is to get a goal or force the keeper into making good saves. We weren't able to do that."