And the head coach is more than happy for rivals Newcastle United to remain the centre of more nationwide focus, for he says it will help Sunderland stay "under the radar".
The Black Cats were favourites to prop up the Premier League table this season after winning promotion through the play-offs a year ago but have stunned pundits and rivals with a quite stunning first campaign back in the top flight, which ended with a 2-1 victory over Chelsea and qualification for next season's Europa League.
From the outside looking in, there weren't many pundits or commentators giving Sunderland much of a chance this season but that never concerned Le Bris, for he saw and understood what those making the predictions were unaware of - the "connection" behind the scenes at the Academy of Light.
And he believes being unfancied played into Sunderland's hands.
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"Our underdog mentality is important, the players stayed humble," said the head coach.
"It's another point about the data and predictions. You can't assess the connection between the players, you can't assess the human relationship inside the group. This group was absolutely outstanding."
While Sunderland have defied the odds, there's still been more of a national spotlight on Newcastle United and their domestic struggles.
And Le Bris said: "That's good, let's stay under the radar. I think it's the best position and I think we'll stay like this."
Le Bris and Sunderland's officials are now preparing for a return to Europe for the first time since 1973, and competing in the Europa League will obviously come with challenges.
In the immediate aftermath of Sunday's win over Chelsea, Le Bris said Sunderland's primary focus next season will still be on the Premier League.
But he has complete faith that the players and the crucial support staff at the Academy of Light will continue to take everything in their stride.
He said: "We are growing quickly, but in football it's hard to anticipate something.
"We generated momentum, the players were so well connected and demanding with each other as well, which is really important.
"We have great leaders in the group, young lads with the willingness to learn. Just enjoy the moment because in football you can go one way or the other way. At the minute, everything is really well aligned. Keep going.
"Early in the season, it was obvious that it could have been hard but I didn't feel it in the dressing room at any time.
"It was clear that they were humble but ambitious and it's going to be the same we know that, I repeat, it could be one way or the other way. It's always fragile but if you work hard and we have talented players, anything can happen."
Sunderland's players will now either go away on holiday or link-up with national squads ahead of the World Cup.
By the time the squad returns for the start of pre-season, the Black Cats hope to have Dan Ballard back fit.
After being forced to miss the last three games of the Premier League season through suspension, Ballard underwent ankle surgery and was seen on crutches on the Stadium of Light pitch when the players gathered after Saturday's game.