Piastri has gained six races to Norris’ 5 this season, they usually have gained 11 of the 14 races thus far between them.
Racing resumes on the Dutch Grand Prix on 29-31 August and Brown says he expects their battle to stay honest.
“I’ve mentioned to each of them individually, at home windows of alternative, has your team-mate ever carried out something to harass you? ‘By no means’. And that is what they each mentioned,” Brown added.
“So there’s competitiveness brewing. We’re not feeling any rigidity. Because the championship builds I am certain that rigidity will develop, however like Montreal – I am glad we received it out of the way in which, as a result of it was a non-event, Lando owned it, Oscar understood, it was a mistake.”
Brown mentioned that though he expects the 2 drivers to finish up colliding once more, he was “very assured it will not be deliberate”.
He added: “I am constructive they’re by no means going to run one another off the observe, and that is the place you get into unhealthy blood.”
And he mentioned that McLaren would take care of any rigidity that evolves in the identical manner they’ve managed the connection between the drivers thus far.
“If one thing bubbles up, we’ll take care of it,” he mentioned. “And the way we function, which is [in] an open, clear, take care of it straight away [manner].
“It looks like from the surface trying in, while you’ve seen battles between different team-mates, you’ve got sort of seen it brewing, and also you sort of go like ‘have they jumped on that, or are they only sort of letting it construct up?’
“We’ll take the air out of the balloon straight away, if we really feel like something’s effervescent up, however we have not seen any of it.”
Brown mentioned it was very important for McLaren for the 2 to stay on good phrases as a result of they each have long-term contracts.
“They’ll be racing towards one another for a very long time in the identical group,” he mentioned, “so it is necessary that relationship continues to develop, as a result of the connection’s not nearly this yr, nevertheless it bleeds into subsequent yr, and they are going to be collectively for a very long time”.