The Republic of Ireland striker joined the Clarets from Stoke City this summer and has since admitted that he has already seen enough from his new teammates to suggest that the club have more than enough quality to improve upon last season.
"A big danger for clubs coming up is that second-season syndrome, and you don't want to fall into that category," said Walters, according to Sky Sports News.
"You get comfortable, think you've done it after a year - I don't think we'll let that happen here.
"With the players and the characters we have in the building we won't let it. It's a grounded group of boys and that helps, there's no egos in the building. It wouldn't be allowed here."
Burnley start the new season having to face last year's champions Chelsea at Turf Moor.