Abbott said he wanted to find a constructive solution.
"I'm not in the business of picking fights with anyone," he said.
Drug smugglers Chan, 31, and Sukumaran, 33, are on Nusakambangan island, where Indonesia will give them 72 hours notice of their execution. Lawyers will appeal to a court today to have their case for clemency considered.
Abbott said he understood the Indonesian government's desire to crack down on drug crime, as this was his own government's aim.
"But these two individuals, because they're reformed, have now become an asset in Indonesia's fight against drug crime and that's why I think it would be counter-productive to execute them."
Meanwhile Chan will see his fiancee for the first time since she was turned away from Kerobokan jail on the morning of his departure. Febyanti Herewila arrived at Cilacap port yesterday with other family members of Chan and those of his fellow Bali Nine member Sukumaran.
- AAP