The overarching consideration is whether you are a fit and proper person to practise as a solicitor, taking into account
certain suitability matters.
If the offence does not involve any element of dishonesty, is entirely disconnected from the practise of law and would not lower your reputation in the eyes of the public, it might be OK. There are a number of cases out there on the admission of applications with convictions.
You can also provide a full and frank statement of your circumstances to the Admission Board now and
ask for a pre-emptive declaration as to whether you are fit and proper or not. If you get that then you just have to make sure you're a good boy from that point onwards.
As the others have said, the
LPAB can provide more information.