Hello,

If you're specifically seeking admission for three years LLB program then its eligibility criteria is based on graduation, candidate who have passed bachelor's degree in any discipline from a recognized university securing 45%-50% aggregate are eligible to apply regarding this, so based on your graduation degree you can apply for LLB, if your final year exam for pg gets over prior to starting of new session for LLB then you can definitely go ahead filling form for LLB, else what may happen is there might be clash of your pg exams and attending session in newly enrolled law program, as I told you it's your graduation degree which determines the eligibility criteria for LLB, not your pg degree, however depending upon when your exams will get conducted and you're applying for which law college, what's the  mode of admission there, if it's merit based or entrance test based, followed by counselling and other procedure, all this will take time, so if your exams get conducted prior to commencement of law program for the new session, then you can manage as from your side everything is completed in terms of course, only your documents are to be received in due time, so you have to check all this things prior to applying, you may visit the official website of the university you're interested in applying for, and check out the entire admission schedule in order to take any decision for the same.