A day of waiting.
It was neither long nor short.
One had to admit that Naruto's luck on this trip was a mix of misfortune—having his identity discovered by Uchiha Itachi—and considerable good fortune. First, he reached a certain level of mutual understanding with Isobu, and next, he stood to gain another powerful assistant. Do not doubt Naruto's confidence; a crucial point was that the Six-Tails had a Jinchuriki, the bubble-blowing Utakata, and Utakata was currently being hunted by the Anbu of Kirigakure. Naruto couldn't recall the specific details from the original story, but he was certain that Utakata desperately needed a place to settle down—a safe haven where he could catch his breath and escape the pursuit. In the vast Shinobi World, there were few places Utakata could choose. His first instinct would naturally be the other four Great Shinobi Villages, but given Utakata's personality, he likely wouldn't do that. If he had such intentions, he wouldn't have remained a wanderer even after the Shippuden era.
What was the reason for this?
Naruto speculated that it was because Utakata also lacked trust in the other four Great Shinobi Villages.
Furthermore, Utakata likely felt that showing up so suddenly would make it impossible to gain the trust of those villages. Not to mention surveillance, he would likely be restricted in his freedom, and that was a result Utakata did not want.
Considering it from these angles.
Naruto had a high degree of certainty that he could persuade Utakata.
As for whether Utakata would refuse him out of wariness or distrust.
There was a probability.
But if that happened.
Truth be told.
It wouldn't have much of an impact on Naruto.
To put it bluntly.
Naruto was the one extending a helping hand to Utakata; one must not get the roles