Poyet has urged his promotion-chasing men to seal a top-six spot against Leeds next week and avoid any last-day nerves against Wolves.
Will Buckley put the Seagulls ahead in the ninth minute after cutting inside and guiding a sweet finish into the top right-hand corner, before Matthew Upson bundled his first Brighton goal over the line mid-way through the first half.
Andrea Orlandi, David Lopez and Ashley Barnes (2) all found the net as Brighton hit six, and an own-goal by Dean Hammond was Blackpool's only consolation on a miserable afternoon for Paul Ince's men.
Poyet said: "It's not done yet and we need to keep going. We will want to finish it next week at Leeds and not have it still undecided going into the final game. I was hoping when it was 3-0 at half-time that we wouldn't blow it and lose 4-3 because that could have been the end for us.
"But we are looking good. We have momentum at the right time of the season and are still looking fresh, so we have put ourselves in a really strong position."
Blackpool boss Ince believes fatigue was the reason behind his team's thumping and refused to accept that his men lacked fight.
The Seasiders' five-game unbeaten came to a crashing halt and Ince was quick to admit that a swashbuckling Brighton proved too talented for his tired players.
He said: "When you come to places like Brighton you need to start well. We looked leggy and we looked tired from the first minute to the last. We couldn't cope with their pace and technique. We needed to stay in the game for longer than nine minutes and we never got to grips with them. We were second best all over the park.
"One thing you can't say is that we didn't show fight. Look at the turmoil these players have been through. These players have been fighting all their careers. We're not a club with £25million, a new stadium and a new training ground. It was just a bad day at the office."
- Sports & Recreation
- Paul Ince