The person spoke on condition of anonymity because officials had not yet reached a final agreement on the release and it could still fall through.
"It's the right thing for (Turkey) to do, it's the humanitarian thing for Turkey to do."
Brunson was among thousands of people arrested in Turkey in police sweeps following a failed July 2016 coup against President Recep Tayyip Erdogan.
He is accused of working to convert Kurds to Christianity to destabilise Turkey.
Brunson is under house arrest but could get up to 35 years in prison if convicted on charges that his lawyers say are baseless.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)