The Potters are just three points away from relegation with just six games left to play in the campaign.
"I suspect 38 points will do it, but certainly a couple of wins and you are OK because 40 points will absolutely do it," Coates told the Stoke Sentinel.
"It's up to us now to get enough points to stay in the Premier League. We've got as good a chance as anybody else and it's up to us to see it through because no one does you any favours.
"When I look at the fixtures I believe there are points out there for us, but it's up to us to get going on a run.We know our big problem, we are not scoring enough goals."
Meanwhile, rumours have been circulating suggesting that this season could be manager Tony Pulis's final one at the Britannia Stadium.