Rigg has only started six Premier League games this season and hasn't played a minute of the last five fixtures.
During the January transfer window, Le Bris admitted Sunderland were still weighing up the possibility of a loan move for the 18-year-old.
But in the end Black Cats officials decided Rigg would be better off staying put, with Le Bris pretty sure chances will come the midfielder's way in the coming months.
He said: "The group is small at the minute. We have 21 players in the first team plus three goalkeepers, so it's not massive. It gives him, automatically, opportunities to play, even if it's not now.
"Just because the squad is not big, you know that you will be involved at times. It's not the case at the moment because we have other players, but the structure, the dynamic of the season is often like that, you have to wait for opportunities. He works well every day. He's really well-connected, intense.
"It's part of the journey of a young player. He's really young, so it's important to remind ourselves. He started a few games, was involved in a few games as well, so it's just a question of time."
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For all Rigg would no doubt like to have played more football this season, Le Bris says it's crucial to remember that he's still extremely early in his career. How many homegrown 18-year-olds are regulars in the Premier League?
"We had many conversations with him about his pathway," said Le Bris.
"He's a really young and talented player, so he went through the first stages really easily because he's talented.
"Playing with the U15s, U16s, U17s, etc., with the young international teams as well, it was easy for him. "Now, when you reach the last stage, especially in the Premier League, the competition is totally different. As a young player, you didn't develop the skills to face this new challenge before.
"Now it's time to develop this part. I think he's doing well. At the beginning, he was probably a bit surprised because he used to play, and now it's not the case. He might be thinking what's happened?
"It's just the competition, real life. This part of his journey is really important. I think he's doing well. Humans are humans - You want to play. You're not really patient but I think his character, his composure are really good."