Hinojosa declined to name the player.
The forfeit spoils South Oak Cliff's run as one of the state's great basketball dynasties. In March, the school became the first in 27 years to win three straight championships in boys basketball.
An investigation by WFAA television first revealed questions about whether a student was passing his course work or even showing up for class.
DISD officials said the University Interscholastic League, which is the governing body of high school sports in Texas, has been notified of the South Oak Cliff violations.
UIL spokeswoman Kim Rogers said using an academically ineligible player violates the state's no-pass, no-play law.
"This is not a UIL rule violation. It is a violation of state law," she said.
The forfeit means Fort Worth Dunbar, the team South Oak Cliff defeated 76-58 in the state championship game, would be recognized as the state champion.
UIL Athletic Director Charles Breithaupt said the UIL will wait to get formal notification of the forfeit in writing from DISD officials before Fort Worth Dunbar is officially notified of its state championship.
Dunbar would eventually be presented with a first-place trophy, Breithaupt said.
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