The Black Cats have enjoyed a tremendous first season back in the top flight and are currently 11th in the table, just three points shy of seventh-placed Brentford, as they prepare to host Tottenham tomorrow in what is Roberto De Zerbi's first game in charge of struggling Spurs.
The priority for Sunderland this season was securing Premier League survival, but Le Bris' side have exceeded expectations and already have 43 points on the board.
Le Bris says Sunderland's players were desperate to ensure they didn't switch off after reaching 40 points, and has revealed the aim of everyone at the Academy of Light is to become an established top half side in the Premier League.
RECOMMENDED READING:
He said: "After Leeds, when we reached the 40-point target we spoke about what might be the future because we always need objectives. Collective objectives, individual objectives and daily standards.
"And for the club it's clear, the owner, the director of football and so on, they want to be consistent in the top 10 in the Premier League. This is their vision, and I share this vision.
"And if you are consistent in this part of the table, one year, two years, you can be a bit closer to the top six, so we are doing well, and this season it is probably achievable. Is it early? Yes, maybe. But when it's on, you have to try and seize the opportunity, so we'll see."
Le Bris dismissed suggestions that European qualification this season might come too early for his side.
He said: "Two seasons ago we might have said the Premier League was too early. We didn't set specific goals but we said we'd work hard and work with our identity and we'll see.
"For this season it's the same. Sometimes we say winning away at Chelsea and Newcastle is impossible. If it's possible, the players and the team and the goal are ready to achieve this goal and we'll manage the next goal."
Having already achieved their aims for the season, the pressure is very much off for Sunderland now, but Le Bris says his players won't take their eyes off the ball.
"I think we still want to win and the pressure is more internal," he said.
"We want to win again at home because we struggled a bit in the last sequence.
"It's about our standards. The main goal of the season is probably achieved now and it wasn't easy. Sometimes we can forget because it's always about the next game. But it was really hard and we struggled at times but we showed great character. Now we want to keep that because we want to grow."
Tottenham have endured a nightmare campaign and De Zerbi now has seven games to keep Spurs afloat.
Le Bris said: "Tottenham are a big club with top players but they have struggled to generate momentum this season.
"You never know how you create this vicious circle, injuries, efficiency, doubt. It means this league is unforgiving, demanding and hard to break.
"It doesn't mean they are not good. They have good quality and they are strong. But when there's doubt it's hard to manage.
"The new coach is a great coach, strong experience, good ideas, clear identity and the ability to switch momentum but we don't know when and how."