A second half penalty from Spanish playmaker Vicente rescued 1-1 draw for the Seagulls after defender Scott Dann headed Blackburn in front against the run of play mid-way through the first half.
Brighton wasted several opportunities before Dann broke the deadlock and midfielder Dean Hammond was twice denied by keeper Jake Kean in first-half stoppage-time.
The Seagulls levelled when a Markus Olsson handball was spotted by the assistant referee and Vicente stepped up to score for the second game running.
That goal was the first Blackburn had conceded in five-and-a-half hours of playing time and Poyet was fully satisfied with his team's efforts.
"In terms of technical ability, speed and precision we were absolutely spectacular," he said.
"That for me was enough. The (admission) money was worth it already.
"We`ll try for the play-offs and won`t give up. The players want it and the club wants it.
"It`s a strange feeling as normally I`m a bad loser. I should be really upset but we`ll see. I need to be realistic, maybe we are over-achieving to be playing the way we are."