Saying "nothing of that substance happened," Hinkie also said after the draft: "We had a lot of things going on. That was not part of what happened in the last several hours."
Hinkie said he has yet to formally interview anyone following the departure of Doug Collins, who was not retained after three seasons as the club's coach.
Brown has been an assistant under Spurs coach Gregg Popovich for the past seven seasons and previously served as San Antonio's player development coach. He also has international coaching experience, guiding Australia to a seventh-place finish at the 2012 London Olympics.
Spurs general manager R.C. Buford said news of Brown going to the Sixers was premature.
"I would leave it to the 76ers or Brett to comment," he said, according to the San Antonio Express-News. "To the best of my knowledge, I think people are jumping the gun on the process. But again, I'm not either the 76ers or Brett."