The Libertines frontman was given a six-month sentence on May 20 after pleading guilty to possession of cocaine following police enquiries into the death of filmmaker Robin (Robyn) Whitehead.
According to TheLawPages, Doherty has been given a 'likely release date' of August 21. Doherty has been booked to play the Leeds Festival on August 26 and Reading on August 28.
A spokesperson for the Reading and Leeds Festivals told NME that they had no comment on whether or not Doherty would be able to play in his headline slot on the Festival Republic stage.
The Crown Prosecution Service confirmed earlier this month that Doherty will not be charged over the death of actor Mark Blanco at a party in 2006.
> Pete Doherty: 'Robyn Whitehead was my best friend'