The Reds finished frustrated in front of goal, although Poyet himself felt it was a missed opportunity for visitingSunderland.
But the Black Cats coach admits he feared the worst when 'special' Gerrard came on for Liverpool, as everything changed - from the players to the crowd.
“It would be very easy for Brendan to play Gerrard 90 minutes every game but then lose him for a month with an injury," Sunderland boss Poyet told reporters.
"It is tough. Of course, when he came on, it wasn’t just the players who were affected. The crowd, the atmosphere – everything changed.
“That is when we started suffering as Liverpool were coming at us from everywhere. Listen, he is special. He is a player who with his presence on the pitch makes the whole place better. So it was good news when Brendan never played him. I was quite pleased!"
Liverpool now face FC Basel in the Champions League on Tuesday night.