Based on the short stories of Mikhail Bulgakov, the adaptation features Jon Hamm as an older doctor who has comic exchanges with Daniel Radcliffe, who plays his younger self.
Radcliffe said of the scene where he bathes with Hamm: "It was great, because you know you are the envy of every woman ever."
He previously said of the series: "I have been an obsessive Bulgakov reader for a couple of years now so when the opportunity to become involved in this project came up, I could barely contain my excitement.
"The book is funny, grotesque and heartfelt in equal measure and I look forward to working with a great group of people to help bring it to life."
A Young Doctor's Notebook was produced for Sky by Big Talk Productions in association with Jon Hamm and Jennifer Westfeldt's Point West Pictures.
"Clelia Mountford and Big Talk have been championing this project unabashedly and I share their great enthusiasm for bringing something original, dark, funny and moving to light," said Hamm.
"Also, I have been watching Bridget Jones's Diary on infinite loop, and I think I've finally got this accent thing sorted."
He added to Digital Spy: "I've met Daniel quite a few times. He's a lovely guy and a really, really talented actor.
"It's a very, very strange thing... It's a trip, we've got a really, really talented group of people so hopefully I don't embarrass everyone!"
It will be shown on Sky Arts 1 and Sky Arts 1 HD in the UK in early December.