Should I wait for an offer from LSE despite having an offer from IDS, Sussex?

I am planning to study with scholarships. I have an unconditional offer from IDS, Sussex. I have applied for same course in LSE. I got a confirmation of processing of documents a week back from LSE. I am not sure how long I will have to wait till I hear from them . But in the meantime I only have 4 weeks left for me to apply for the scholarships. Failing which I would not be able to take up studies this year. So should I wait for a response from LSE or confirm my offer from Sussex and go ahead with scholarship applications?