Neal Maupay's header and Aaron Connolly's brace gave Graham Potter’s men their first home victory of the season, and Webster highlighted how well he believed the Seagulls carried out their game plan.
He said, “Structurally we were a lot better than the game against Chelsea and our team shape showed that.
“We didn’t let them have too many chances, went direct when we had too, and got in behind them – we knew we had the ability to stretch them at times and we did that well.
“Throughout the week we work on things to improve and that’s what we did to make sure we were ready for the weekend - tactically we were spot on and the shape was solid throughout.
“We obviously got a bit of luck in the first couple of minutes, but we thoroughly deserved the win and we put in an unbelievable amount of effort.
“We converted our chances after creating plenty of them again, and it did feel comfortable for us. Our shape was good and we kept possession well too, so I’m delighted.”
Connolly’s first two goals came on his first league start, with his first strike from close range making him the first teenager to score for Albion in the Premier League.
Webster praised the work that both the Irish striker and Steven Alzate have put in since the pair became part of the first team during pre-season.
“I’m delighted for him because he’s been brilliant since he’s come in. He was great on his first start and both him and Neal were magnificent up front,” he continued.
“I see it in training all the time and he’s no different in a game, he’s hard to mark and so quick.
“The touches he takes on the ball are little but quick and that makes it even more tough to tackle him, so he’s hard to defend against.
“It’s a great ball from Lewis [Dunk] to get down the side of them and then Aaron’s finish is superb, and you can’t do too much against that.”