Webster reveals that he was keen to sign for Potter after playing against his Swansea side last season when he was still at Bristol City.
He told the Mirror: “I played against Swansea and his team last year, I was playing in a good footballing team but Swansea were another level, they played a lot of football and I remember thinking: 'I'd love to play like that one day.'
“It's been perfect for me. He's very calm. He knows how he wants to play, has his own ideas, he's very relaxed, but the lads really like him and he's been really good. He's been great for me, his style suits my game.
“As soon as you know a Premier League club wants you, you want to take that chance. Every player wants to play in the Premier League. I'm just grateful that Brighton showed faith in me, brought me to the club and hopefully I can repay them."