The Seagulls beat Wolverhampton Wanderers 2-0 to confirm fourth spot, which means that they will meet rivals Crystal Palace in the semi-finals, and Poyet is looking forward to a "spectacular experience".
"I'm relaxed, I'm a positive person," The Argus quotes Poyet as saying. "I hope the Palace games are as normal as possible. Let's just think about football on Friday and nothing silly.
"For me it will be a spectacular experience. I've never had it, even as a player.
"We want to carry on in the same way, be in the best shape we can for the playoffs. I think we are good and just need to continue."
The other two teams in the playoffs are Watford and Leicester City.