According to sources, she has been in talks over an unspecified role at the tech giant’s London office.
The story first emerged on The Airwaves news site.
Hunt is known to be close to Apple original video chiefs Jamie Erlicht and Zach van Amburg, having worked with them on Channel 4 sci-fi anthology Philip K. Dick’s Electric Dreams when they were running Sony Pictures Television.
Hunt has been heavily linked with another digital content player, Netflix, but played down that link when questioned publicly earlier this year.
She left Channel 4 last month after seven years as chief creative officer with the UK broadcaster, having brought shows such as The Great British Bake Off and Electric Dreams to the commercially funded public service broadcaster.
Numerous execs are lining up to replace her at Channel 4, with interviews believed to be in their final stages.
On Friday, former BBC director general Danny Cohen was the latest to rule himself out after reports claimed he was unexpected candidate.
Good luck to the next creative leader of Channel 4. I’m greatly enjoying my adventure at Access and C4 is not something I’m considering https://t.co/9pNRDxfneU
— Danny Cohen (@DannyCohen) October 6, 2017
Apple, meanwhile, has been building out its content team following the appointments of van Amburg and Erlicht has head of video programming.
They have hired a number of execs, including former WGN America chief Matt Cherniss, and are thought to be looking at big ticket dramas, despite Apple seemingly not having a mass distribution platform.
An Apple spokesperson declined to comment when contacted by TBI, while Hunt couldn’t be reached for comment this morning.