Abercrombie has been off a ventilator for more than 24 hours, the school said.
Abercrombie had been in critical condition at Vanderbilt University Medical Center since Sept. 29.
During a game that day against Vanderbilt, Abercrombie went to the sideline during the first half of the Tigers' loss. He told trainers he had a headache, then collapsed and required oxygen before being taken to the hospital for emergency head surgery.
Information from The Associated Press was used in this report.