Markelle Fultz has had multiple conversations with Danny Ainge since the draft combine in early May.
Fultz hopes to be selected first overall by the Boston Celtics.
"I've talked to Danny a few times, and they want to get me to come out there for a visit," Fultz told ESPN. "They just want to get a chance to know me better as a person."
"I want to be the No. 1 pick really bad," Fultz added. "It's been a dream of mine since I was a little kid, and I feel like I would fit well in Boston."
Fultz has yet to decide when he will formally visit the Celtics.
Fultz said he has never been to Boston, but he has watched the Celtics closely through their postseason run that ended last week in the Eastern Conference finals.
"I don't know a ton about the city," Fultz said. "I know the tradition the franchise has, and that the fans are crazy."