Brunt has now urged his teammates to focus on themselves and not worry about the sides around them as the season draws to a close.
"All we can do is look after ourselves, look after our performances and try to get a couple more wins as quickly as we can," the Norther Irishman told the Express & Star.
"We can't rely on other results. Our goal difference isn't too bad - that's a positive. It's in our hands."
West Brom are back in action on Monday night when they face Manchester City at the Etihad Stadium.