Walking and Talking will follow on from the comedy star's semi-autobiographical Little Cracker film, which transmitted on Sky1 over Christmas 2010.
The series will see Upstairs Downstairs star Ami Metcalf reprise her role as a young Kathy, while Luther's Aimee-Ffion Edwards will also reappear as her friend Mary.
Burke herself will play the character of Angry Nun, while Death in Paradise actor Sean Gallagher will play Pretty Nun, and stand-up comic Jerry Sadowitz will appear as Jimmy the Jew.
"I wanted to write a semi-autobiographical piece that was uplifting and heart-warming," said Burke.
"Walking and Talking is my love letter to books, '70s television, music and friendship."
Sky's head of comedy Lucy Lumsden added: "We loved Kathy's Little Cracker so much we demanded more. We are immensely proud to have this exquisite series for Sky Atlantic HD."
Written entirely by Burke, Walking and Talking will be produced by Pippa Brown and directed by Look Around You's Tim Kirkby.
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Watch a clip from Kathy Burke's original Little Cracker below: