In an appearance on "The Herd with Colin Cowherd," Stern acknowledged he was not pleased that James, the league's reigning MVP, didn't meet with the media, or shake hands with the Orlando Magic, following the Game 6 loss on Saturday night.
Noting that in the recent past, other players and teams have been fined for failing to meet the league's media guidelines, Cowherd asked why James had not been fined.
"I'm in the process of making a phone call or two now to talk to LeBron ... so I don't want to speak to that at this moment," Stern said.
"So you're not happy?" Cowherd asked.
"I think that's fair to say," Stern replied.
When further asked about James storming off the court without postgame handshakes with the Magic -- and whether one action was more troubling than the other -- Stern said both. "One goes to rules, another goes to values," he said. "I think both of them should be followed."
"Everything's big when you follow the NBA, so I'm going to step back and ask not to be pushed too hard right now [on the incident]" Stern added. "I've got a few irons in the fire."
On Monday, NBA spokesman Tim Frank told 1050 ESPN New York's Andrew Marchand that James would not be fined, adding "We haven't had any issues with him before at all."