Enrolment at LSE without official certificate from current degree

Hi everyone, I am currently finishing my PPE bachelor's degree in Germany and have a small (or rather large) problem:
Because I can only hand in my bachelor thesis at the beginning of september, I won't get my official bachelor certificate until 8-12 weeks later. My enrolment is on 20th September.
At the time of enrolment, however, I will have a transcript of record and provisional degree certificate showing all my achievements and grades, which proves that I have successfully completed my bachelor's degree.

Is that enough to do both pre-enrolment and campus enrolment? Has anyone had any experience with this or know of friends who have?
I am really desperate at this point because the LSE is giving me contradictory information. i have already uploaded a highly-likely letter to get my condition waived and my CAS. But the answer from the CAS/Admissions office scares me. It states that
"Acceptable official degree certificates must contain the following:
- your name,
- the title of the award,
- the date of the award, and
- the name of the awarding institution.

Certificates and transcripts which state that they are provisional cannot be accepted."