Described as a dark semi-autobiographical drama, it is being kept as a top-secret, said The Hollywood Reporter.
Multiple sources say the 50-year-old "Straight Outta Compton" producer is also executive producing the six-episode series.
The series likely will be distributed via Apple Music, the company's subscription streaming site, but it is not clear if Apple TV, the iTunes store or other Apple platforms will be involved.
Apple and a rep for Dre declined to comment.
Those who have seen descriptions of the Dr Dre show say it is billed as semi-autobiographical, with each episode focusing on a different emotion and how his character deals with it.
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While technically a half-hour, the show is not a comedy.
Veteran music video director Paul Hunter is helming "Vital Signs".
"Empire" co-executive producer-writer Robert Munic was hand-picked by Dre to write all six episodes and executive produce.
This project is said to have originated with Dre, who conceived the idea and pitched it directly to partner Jimmy Iovine .
It makes sense considering Dre's relationship with the company. In 2014, he and Iovine sold their popular Beats Electronics to Apple.