The Potters sit eighth in the table on 30 points, but Pulis has refused to accept that his side are safe this season.
"I heard someone talking the other day about 'just retaining Premier league status'. It's everything," Pulis told The Sun.
"We've had to fight tooth and nail for the past three years to stay in the Premier League. As soon as you start thinking you've cracked this league, that's when you're in trouble. When we reach 40 points, I'll be doing somersaults."
Stoke host West Brom in the Premier League on Saturday afternoon.