Corby, 36 was convicted in 2005 for attempting to smuggle four kilograms of marijuana into Bali in a bodyboard bag.
After nine years behind bars for drug smuggling, she is inching towards parole.
Her case was heard in Jakarta last week, but it's not known if the recommendation to Syamsuddin was for or against parole.
The minister confirmed Corby was "eligible" for parole, but he wasn't clear whether that was the recommendation given to him.
"As long as she follows all the regulations based on the parole board recommendations, she's eligible to get her rights in accordance to the existing regulations," he said.
Mr Syamsuddin said the 1700 cases before him must be processed together, and treated equally.
He wanted to finish them "before the end of this week," not only for Corby's sake but the others, too.
Corby's 20-year sentence was slashed by five years in 2012 when she was granted clemency by Indonesian President Yudhoyono last May on humanitarian grounds, after claiming she was suffering from a mental illness that could endanger her life.
If released, she is likely to stay in Bali while on parole.
- nzherald.co.nz, AAP