There also will be an appeals process before a team is banned from the tournament, the NCAA said.
On Wednesday, UConn president Susan Herbst said she was confident that the new rule would not be implemented until schools such as Connecticut have a chance to show they have made improvements.
"We just need time to prepare, and I think that's true for a lot of institutions," she said. "We need to get the supports in place so they can meet any new standard. I have no doubt that we'll have that chance."
Walter Harrison, the president of the University of Hartford and chairman of the NCAA's Committee on Academic Performance, seemed to indicate Thursday that was the intent.
"They are giving schools and teams a chance to change their behavior, but also doing it pretty rapidly so they are going to have to get on the stick," he said.