The 46-year-old Perry has been hospitalized for two weeks to deal with complications from Guillain-Barre Syndrome, a chronic inflammation disorder of the peripheral nerves.
He had previously been listed in serious condition.
Perry's relatives have said he was expected to recover.
A hospital spokeswoman could offer no additional details about Perry or how long he will be hospitalized.
The 300-pound-plus defensive tackle played for the Bears' 1985 Super Bowl team and helped lead Clemson to the 1981 national championship.