Time between Viva (minor corrections) and the letter I have been awarded a PhD today with minor corrections (yay!). I am not very relieved yet, because I signed a job contract that says that the deadline to provide a proof of a PhD award is September. I tried to search for the answer in the research regulations of my university but it was not there. I also asked my supervisor and she told me we're going to try to do that. Do you know roughly how long does it take usually to receive the letter after the viva in the UK? (minor correction that need to be sent to my supervisor).
The process of getting the official papers for a Ph.D. degree can last for months following the oral examination, depending on the university's policies and procedures.

That said, most universities are aware of the need for Ph.D. recipients to start jobs before the "official" Ph.D. degree is sent out, and there's usually a mechanism in place to issue a document stating that the oral examination has been passed and that the candidate is done except for the formal procedures required. Such paperwork is usually provided at an administrative level higher than the professor advising the Ph.D. candidate. You should consult with the graduate advisor of your department for guidance on who to contact.