The Oklahoman reported earlier that Parker, who was honored as the nation's top freshman player Monday at a banquet in Oklahoma City, would hold a press conference after conferring with Duke coach Mike Krzyzewski.
But Duke basketball associate director of sports information Matt Plizga said there was no press conference scheduled at this time.
Parker is the highest-scoring freshman in Duke history. The 6-foot-8, 235-pound Chicago native averaged 19.1 points and 8.7 rebounds while leading the Blue Devils to a 26-9 record, an appearance in the ACC title game and a No. 3 seed in the NCAA Tournament.
The deadline for underclassmen to announce their intentions is April 27. This year's draft is set for June 26 in New York.
Parker said in the interview last week that he does not see staying in college for another season as a gamble.
"I think there's no risk," Parker said. "I think the community at Duke has really done a good job of taking care of my safety and they make sure that everything is done by the playbook.
"My parents, they come from different backgrounds. They don't even value money. My situation isn't the best, but they're not complaining and I've been going on this long, so why can't I wait another year? That's the mindset in my head that keeps me moving."