Sunderland have made 12 signings so far this summer but are looking to further strengthen their squad with another central defender and a wide attacker.
Jhon Lucumí remains Sunderland’s leading centre-half target, with the Wearsiders having this week made a fresh bid for the Bologna defender.
And while Le Bris was, as ever, reluctant to discuss individuals, he said: “We still want to reinforce the squad if it makes sense for the balance.
“It’s still possible in the backline if we find the right player at the right level and with the right mindset.
“We still have one option, maybe. But if it’s not the case we’ll stay with what we’ve got.”
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Sunderland were also linked with a move for Leicester forward Abdul Fatawu this week, but the Championship club’s valuation of the 21-year-old means progress on that front is unlikely.
Whether Sunderland pursue other wide attacking targets is at this stage unclear.
Le Bris said: “There’s a lot of speculation which is positive for everyone.
“Same answer. If it’s possible to reinforce the squad with the right profile we’ll move forward, but it’s not just our question.
“It’s a question of the player and the club, so we’ll see.”
Le Bris added: “We need competition to be consistent in this league. We need competition for the squad.
“We’ll need competition, because of injuries and suspensions and different styles of play.
“We’ll see [what happens next]. One week to go. We’ll see at the end.”
Regardless of how the last week plays out, Le Bris is delighted with Sunderland’s business so far this summer.
Exits are inevitable before the deadline, with Sunderland working to offload a number of players who don’t feature in Le Bris’ plans, and the Black Cats are still pushing for signings but there’ll be no panic in the final week of the window.
“Stressful or relaxed I don’t know, maybe in the middle,” said Le Bris.
“The last week can always be a bit crazy and chaotic but at the minute we are well organised and working together, so if someone can lose their mind the other one can catch them.
“We don’t have much recruitment to do right now, so if it’s possible to sign one or two more players maximum, we will; if it’s not possible, we’ll stay like that.”
