Sunderland have picked up seven points since Poyet took charge in September, but the Black Cats stayed bottom of the table after Wednesday's 4-3 home defeat by Chelsea.
Tottenham head to Wearside on Saturday and the Uruguayan believes his players must show more attacking ambition if they are to cut the five-point gap to safety.
"Unfortunately, we still don't have enough points, we still look at the table and it's not great. We need to win football games," said Poyet.
"That balance is slightly going one way. We need to start maybe taking a few more risks because we don't have enough points.
"We are in a situation where it is difficult to catch the teams in front of us because we cannot put two wins together. Every time we make a step forward, the second step is flat or backwards and we cannot really get there.
"The league is like that - everybody beats everybody, every game is difficult. All the teams are going to win football games and we haven't won enough."
Sunderland's battling spirit against Chelsea has reinforced Poyet's belief that his side can stay up
He revealed how Blues boss Jose Mourinho also gave the Black Cats his backing in the survival fight.
Poyet said: "In different language, he said more or less the same: 'If you play like that, you won't go down'.
"It's good that the players can see that as well because it is a compliment to the players.
"For me, if we play seven or eight games like the other day and against Aston Villa and we don't win one, there is something that's incredible against this football club.
"But it doesn't happen. If we perform like that for seven or eight games, you are going to win three or four, so that's what I am looking for.
"I am looking forward to seeing if we can maintain that and find that balance."