A 2-0 victory over Wolves, with both goals in the first half from Kazenga LuaLua, secured Albion's fourth-placed finish - their highest for 30 years.
Poyet's side will head to Selhurst Park on Friday, 10 May, before hosting the decider at the Amex Stadium three days later.
"It is not a normal game," Poyet said. "How can you make this into a normal game of football?
"I will be trying my best to think only about football. What it comes down to is two games. We'll have a great go."
Poyet's side finished the season on a nine-game unbeaten run and with the best defensive record in the Championship.
He added: "In the context of the play-offs that is key. We are a difficult side to beat. We are certainly one of the teams in the best form having gone nine games unbeaten.
"It was a perfect game for us because we kept a clean sheet and have conceded the least goals in the division."
Poyet also revealed that matchwinner LuaLua was surprised to get a call-up after breaking a finger in training on Wednesday.
"Kazenga broke his finger and it looked painful but he said it wasn't," he said.
"It really was a game for him and to score so early really set up him. He was delighted when I told him he was playing and he responded perfectly."