When China initially sought to extradite Kim in 2011, assurances were made that he would not be subject to the death penalty if found guilty.
Last year the Supreme Court wanted more assurances but Ellis says lawyers for Kim and Justice Minister Kris Faafoi "are at odds as to the meaning of the new information".
The hearing this week is expected to focus on whether the further inquiries and assurances that have been made are adequate and whether any changed circumstances mean Faafoi should reconsider Kim's case.
Ellis says Faafoi was made aware of Kim's deteriorating health in December last year, and was asked to change the extradition decision.
In response Faafoi said he considered it appropriate to await the outcome of Friday's hearing.
Ellis said Faafoi sought leave to appeal the decision of the Court of Appeal on 9 July 2019.
In the 2.5 years since that time he says Kim's health has worsened.
"Given Mr Kim's current health, the delay in determining the new request not to extradite, independent of the Supreme Court hearing is considered inhumane," he says.
If the final outcome in Kim's case is unfavourable, he will seek interim relief from the UN Human Rights Committee to not extradite pending hearing of a substantive case before the Committee, Ellis says.
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