Just to clear things up for some people......
BPP have said that the system often puts it as unconditional if you get an offer for them on BARSAS regardless of if you have your degree, but they don't know why.
If you do have your law degree already and get an unconditional, you still have to pass all the requisite BSB components e.g pass the BCAT, join an inn etc.
Hope that clarifies it for some people.