"There are 1700 prisoners who are being processed by the parole board and they've been finished by the parole board," he said.
"We just need to review that.
"I promise within three days, Insha'Allah, I will finish it."
Mr Syamsuddin stressed Corby was just one of 1700 cases.
"Corby does not receive special treatment," he said.
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.
If the parole board found in favour of Corby, and the minister approves the recommendation, it means she could be released from Kerobokan jail within days.
Mr Syamsuddin has already said publicly he can see no reason why Corby's parole bid should be rejected.
The beauty student was aged 27 when she was caught in 2004 attempting to smuggle more than four kilograms of marijuana into Bali in a bodyboard bag.
She has always maintained her innocence.
She has already been issued a new passport and approval from the Indonesian immigration department to serve out her sentence in the Kuta home of her sister Mercedes.
The directors-general of Indonesia's corrections and immigration departments were also at the minister's Jakarta office on Wednesday.
- Prime Minister Tony Abbott -
Prime Minister Tony Abbott says he won't cast judgment on the Indonesian justice system, as Corby faces the possibility of release on parole from a Bali prison.
Mr Abbott said this was ultimately a matter for the Indonesian justice system, and any Australians in the country have to obey the law of the land.
"Generally speaking, the less said about consular cases the better. Let's see what the system produces," he told reporters in Adelaide on Wednesday.
"I'm not going to get into the business of casting judgment on the justice systems of our friends and neighbours."
- AAP
