The prison would allow both families to visit any time, he said.
"We will not limit their visiting hours, especially when they're coming from Australia," he told reporters.
"It would be such a pity wouldn't it if they came from so far but couldn't meet them." The western Sydney pair have become the Bali jail's model prisoners in the years since their 2005 heroin smuggling attempt.
Sukumaran mentors prisoners through an art studio he established, while Chan leads church services and wants to launch a hospitality course.
All this was achieved even with the death penalty looming, but now their executions look very near.
A police chief in Central Java, where five of Sunday's executions took place, says he's not standing down officers deployed there just yet.
"From information I've received, it is probable that February will see the next phase of executions," commander Ulung Sampurna Jaya told The Jakarta Post newspaper.
He did not say what information he has received.
Mr Joko is also not backing down.
His Facebook account on Monday posted: "the war against the drugs mafia can't be half (hearted) because drugs destroy the life of users and the lives of their family".
Mateus Arif, a local pastor, met Chan and Sukumaran on Monday but avoided the topic of the weekend's deaths.
After a two-year friendship, he was saddened by their predicament.
"I think they must be given a chance to live," he told reporters.
"They have contributed a lot in prison.
"They are much more beneficial (alive) than if they die."
-AAP