Tite conceded he made a mistake in not realising earlier that Neymar had sustained an ankle injury in Brazil's World Cup win over Serbia.
Neymar hobbled off in the 80th minute of the Selecao's 2-0 win on Thursday, having suffered what has been described as a lateral ligament injury to his right ankle.
The Paris Saint-Germain star shared an update on his official Instagram account on Saturday, including photos of his heavily swollen foot.
Tite said in his post-match press conference that he was confident Neymar, as well as Danilo, who also suffered an injury against Serbia, would still be able to feature in Qatar.
However, at his pre-match media conference ahead of Brazil's second Group G game, against Switzerland, Tite said he could have handled his star man better.
"I made a mistake," he said. "I did not realise and I want to publicly acknowledge this.
"He was injured, I didn't see that he had an injury, we didn't get that information.
"He tried to continue to play until he told us he was feeling his ankle because right then he had the ability to try to push with the team, he participated in the goals.
"I hadn't seen he had an injury, it was 10 minutes and it was not malicious, it was accidental."
Neymar was fouled nine times against Serbia and has been the subject of heavy treatment during his previous two World Cup appearances.
Across the 2014 and 2018 World Cups combined, Neymar was fouled a leading 44 times – or once every 21 minutes, more often than any other player impeded on at least 25 occasions.
"If we want to celebrate the football we have to pay attention to the fouls, because they focus on specific players," Tite said. "This is a fact and it has to be stopped."
Tite remains, however, confident that Neymar and Danilo will both return before Brazil's campaign in Qatar is over.
"That's my opinion," he said. "Medically I am not in a position to speak but I do have the medical reports.
"I can continue to say that not only about Neymar but also about Danilo. Both situations have changed, but we do believe both will be available to play.
"We have to live day by day, deal with the possibilities. We have 26 players who have to be fit and in great shape, that's how we've been working. It shows why team spirit is important."