The West London outfit, and particularly Conte, was under pressure heading into the match at Stamford Bridge due to recent back-to-back defeats.
"I think tonight was very important for us to get three points and win the game, especially for confidence. When you lose in a bad way two game's the confidence goes down," Conte told Sky Sports News. "It was important for the players to have a couple of days to rest and tonight is a good win.
"We started the game with not a lot of confidence and made a couple of mistakes. West Brom could have scored. Then I think when we scored we controlled, dominated and had many chances. It's important to go through this bad moment but the most important is to get the win."
Chelsea now sit three points behind second-placed Manchester United.