Stoke are just four points above the relegation zone and yesterday was the 14th league match this season they have failed to score.
"We need to get some points and we need to score some goals, which has been our problem all season," said manager Pulis.
"But we created enough chances at Everton to have at least scored a couple of goals and that is what is probably the biggest worry.
"We have had a fantastic five and a half years in the Premier League and we are struggling for that little break.
"Never mind whether you get it quickly or late on, we need 40 points to stay in there and that is what we have to do."