The Black Cats are in the top half of the table on goal difference alone after last week's goalless draw against Wolverhampton Wanderers. However, O'Neill is adamant that his side must focus on themselves instead of those around them.
"We were disappointed last week," he told the club's official website.
"We thought it would be a tough game and Wolves were never going to lie down, but we didn't do enough to deserve all the points.
"I think we have to concentrate on what we do ourselves. We need results on the board."